How To Find The Inverse of a Function

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How To Find The Inverse of a Function

Рет қаралды 3,389,829

7 жыл бұрын

This algebra 2 and precalculus video tutorial explains how to find the inverse of a function using a very simple process. First, replace f(x) with y. Next, switch x with y. Finally, solve for the y variable and that's it. This video contains examples and practice problems that include fractions, radicals, square roots, cube roots, linear functions, and cubic functions.
Full-Length Math & Science Videos:
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Introduction to Functions:
• Functions - Vertical L...
Evaluating Functions:
• Evaluating Functions -...
Increasing and Decreasing Functions:
• Increasing and Decreas...
Relative Maximum and Minimum Values:
• Identifying The Relati...
Domain and Range From a Graph:
• Domain and Range of a ...
______________________________________
Average Rate of Change of a Function:
• Average Rate of Change...
Evaluating Piecewise Functions:
• Evaluating Piecewise F...
Graphing Piecewise Functions:
• Graphing Piecewise Fun...
How To Evaluate Composite Functions:
• How To Evaluate Compos...
Evaluating Composite Functions - Data Table:
• How To Evaluate Compos...
__________________________________
How To Find The Inverse of a Function:
• How To Find The Invers...
Verifying Inverse Functions:
• Verifying Inverse Func...
Horizontal Line Test - One to One Functions:
• Horizontal Line Test a...
Graphing Inverse Functions:
• Graphing Inverse Funct...
Composite Functions and Inverse Functions:
• Composite Functions an...
_____________________________________
Even and Odd Functions:
• Even, Odd, or Neither ...
Transformations of Functions:
• Transformations of Fun...
Linear Functions:
• Linear Functions
Functions and Graphs - Practice Problems:
• Functions and Graphs |...
Functions - Test Review:
• Functions
_____________________________________
Final Exams and Video Playlists:
www.video-tuto...

Пікірлер: 1 000

@TheOrganicChemistryTutor Жыл бұрын

Final Exams and Video Playlists: www.video-tutor.net/ Next Video: kzfaq.info/get/bejne/bLeRoMqEtdbWmnU.html Functions and Graphs: kzfaq.info/get/bejne/kLp1qZuA063FqKM.html Transformations of Functions: kzfaq.info/get/bejne/qt-Bf9Nn3ZOrn4k.html Graphing Polynomial Functions: kzfaq.info/get/bejne/qLV_mMmV1rPapHU.html

@charlesangelob.sabinay8393 Жыл бұрын

Is this function inverse, sir? f^-1(x)=3√x? Thanks again sir

@ifgosdjjhgjiuzahgiuwgr4137 Жыл бұрын

I have a question. Is the second example an Inverse function? Shouldn't it be one to one function only?

@Ian-dq1tl Жыл бұрын

@@ifgosdjjhgjiuzahgiuwgr4137 sometimes when you inverse a function, the inversed graph is no longer a function, take y=x^2 for example

@slasher298 5 жыл бұрын

you just explained in 2 minutes what my math teacher failed to in 2 hours.. thank you

@user-xj7ms2hy7l 4 жыл бұрын

What is your grade?High school or elementary?

@slasher298 4 жыл бұрын

@@user-xj7ms2hy7l You're right thanks for showing me how to be mature. I'll go try starting an argument on youtube later

@kaledoublescope 2 жыл бұрын

Math class for two hours damn

@josephkhong3654 2 жыл бұрын

same, i feel u

@jabezvinly6807 2 жыл бұрын

My G💪💪Have understood something that I had failed to understand in a whole semester

@theoddball834 5 жыл бұрын

after watching this video, my skin is clear, life is good, and I'm feeling blessed.

@mbdragon8873 5 жыл бұрын

Lol i can relate...

@marcomartinez89 5 жыл бұрын

your skin clear now huh

@acaptainnachoz2111 3 жыл бұрын

I can see your skelaton

@Prince-rb3su 2 жыл бұрын

No cap

@Alex-ns6hj 11 ай бұрын

@@marcomartinez89stress gives you acne, in case you missed the go comment’s point.

@Kekzuu713 5 жыл бұрын

can you teach my algebra teacher how to teach please

@zylelee976 5 жыл бұрын

Same heree oof

@kimberlymontiel2033 5 жыл бұрын

SAME😔😔😔😔

@Yasmine-ib1je 4 жыл бұрын

That's basically why I'm here.

@kareemibrahim8340 4 жыл бұрын

Same right here😓😓

@kujo7960 4 жыл бұрын

Lol same prob with my teacher

@AlejandroRodriguez-gf8ws 5 жыл бұрын

Yes the videos from 2006 are helping

@March90skid 5 жыл бұрын

I know right ! Lol. And it's all free

@MAYBENATALI 5 жыл бұрын

❤️

@sdaaata 5 жыл бұрын

i can literally memorise the ad better than the formulas i have to memorise

@Michael-go9hm 5 жыл бұрын

Lol I fucking hate that ad

@joshuachai1806 5 жыл бұрын

lmaoooo u right

@everettegrant4331 4 жыл бұрын

His voice is soooooooo soothing and calm. He knows when and how to speak, to clearly get his points across! I wish he was my Precalculus tutor! I wish I knew his name! Thanks man!

@JFurk 4 жыл бұрын

literally having my Finals math test in about 30mins, you just explained this quite easily and i actually understood it quickly.

@seeneenahtsham 4 жыл бұрын

Good luck ! I hope it’s going well

@iluvfaiyaz6098 4 жыл бұрын

How did you do

@anyamom2716 4 жыл бұрын

Yeah but how did you do

@spiderhabibi9351 4 жыл бұрын

i have my exam in two days....idk i dont have an ad math background and just started some revision lol, this vid helped alot ! how did u do btw?

@jon9801 3 жыл бұрын

THEN WHY AM I REWATCHING THIS 10 TIMES AND STILL DONT UNDERSTAND WHAT KIND OF BRAIN DO I HAVE 😭😭😭🙄

@colbyl8710 4 жыл бұрын

In 11 minutes, you just explained what i've struggled the whole morning to understand. Keep up the great work! :)

@khaivo616 4 жыл бұрын

The side effects of having a bad math teacher: watching math videos on youtube

@noluck4678 4 жыл бұрын

Khai Vo doing it the night before a test lol teacher doesn’t teach shit

@yumitsoo 4 жыл бұрын

@@noluck4678 omg mood. I have a test tomorrow and I'm watching this before I sleep and try answering similar questions tomorrow

@WarTanko 4 жыл бұрын

@@yumitsoo I hate when they don't tell you to round or not so you get points off or the entire question wrong, I hate my life my stupid brain

@smileonface9100 4 жыл бұрын

@@yumitsoo no

@jaisingh707 5 жыл бұрын

Bro, you are a blessing in this world, can't express how much we love you. Long live Organic Chemistry Tutor

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he died?

@dolchhh2778 Жыл бұрын

@@kingdunlap1908 no lmfao

@aabidsadik3833 2 жыл бұрын

Struggled with these kinds of equations for 2 years, 2 YEARS. Thanks for making this explanation easy to follow and nicely placed out. 👍

@tash0327 Жыл бұрын

Same.

@jochaldo8076 Жыл бұрын

Feeling when u get to college and gotta take a precalc review and u don’t remember shit

@stormshade5707 3 жыл бұрын

I didn't even need to watch the whole video, within the first minute exactly at 1:04 it all clicked and I understood something that 3 different teachers in real life couldn't properly teach me. Thanks a lot.

@javiervalencia9322 5 жыл бұрын

this guy is the best, period.

@kay6480 2 жыл бұрын

I’m in pre calc and myself and a lot of other people in my class are struggling to understand this. My teacher teaches so fast and doesn’t really bother to make sure everyone actually understands what he’s trying to teach. This video was a godsend. Thank you.

@TheDominion37 4 жыл бұрын

I've been watching your videos for the past two years. The reinforcement to topics I learned over twenty years ago are well explained. This has served as a great opportunity to retain important math concepts that never go obsolete.

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same ive been watching his videos for 3 years now and he always has something new

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The dude teaches like my former math teacher, who made me feel like a math genius with his teaching method.

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Lmao your yt name correlates to your comment

@donnelly5757 4 жыл бұрын

Amazing how proper instruction can actually help one understand the subject matter.

@omarmohammd5276 2 жыл бұрын

there is just a thing with your voice. It sounds so refreshing and chill. Makes me acc like math. You explained everything so well

@she_prays_she_slays_demons 3 жыл бұрын

You don't use big words at random times and do it all in chronological order which makes it so much easier for me to understand😊

@truthdetective4925 3 жыл бұрын

Fam you telling me your teacher doesn’t give it to you in chronological order

@viktorsalomonsson6096 2 жыл бұрын

@@truthdetective4925 Nah, he skipping all over the place, placing the domain after he has already done the whole equation

@jertmasangkay7890 2 жыл бұрын

So all of us here have bad math teacher huh

@vishanevers 5 ай бұрын

No we don't all have a bad Math teacher. Mine js great! I just can't be bothered to search through the long recordings of the lecture and go through people asking questions throughout. That takes too much time

@user-yc3gk6rk7k 4 жыл бұрын

I wish you were my school teacher. My school teacher is always complex in explaining and make me feel like an idiot. You just made mathematics look simple to me I feel like a smart kid .

@ObaydFox 5 жыл бұрын

DANG IT! I was watching then Karlie Kloss came on saying how to make a website with wix! Appart from that, great vid!!!

@ShadNex 3 жыл бұрын

Wtf r u watching this

@Yuni.05 3 жыл бұрын

Ratio

@strxctures4115 2 жыл бұрын

Ohh ur here

@manahelh.6104 10 ай бұрын

you are a god sent man thank you! I just started my first year of biomedical science but I need to catch up on some of the maths and your videos makes me not want to throw myself off a building!

@puddingu120 2 жыл бұрын

literally struggling to answer a question and this video immediately helped me understand. thank you my guy!

@pampamtamtam4001 4 жыл бұрын

2:36 Was able to do my math problem after this point, That's all you had to say, and it helped me immensely, thank you.

@giankapoor3161 2 жыл бұрын

Sir you are a life saver. Thank you from the bottom of my heart, many might not see this. But teachers like these save the lives of students.

@hanspangan2436 3 жыл бұрын

bro explained my topic that i've been working on for 5 DAYS of wracking my brains out in 1 minute and 14 seconds. life is good mate

@legopandagirl_5813 2 жыл бұрын

Serious time My teacher, doesn’t properly teach. Spends a day per topic. Test on as soon as we’re done with a chapter. Assumes we’re all understanding. Hmm, it’s a fast class. And I just can’t keep up. Your videos have helped me a lot!

@noahmoussaoui7550 3 жыл бұрын

My teacher is so bad that I swear the first minute of this video helped me more than a 20 minute video from him

@WhiteDude201 4 жыл бұрын

Dude you have never failed me! From high school and now college

@_No_Naem_ 3 жыл бұрын

Usually I wouldn't be watching these videos since I understand in class, but online classes are burning me out, which made me go here. My previous year's math teacher attaches your videos for us to learn our lessons in advanced. This year, my current teacher only just does lectures and sends us PowerPoint copies of the lectures (not saying that it's wrong, because that's my current teacher's teaching style). Like I said earlier, I usually understand the lessons once discussed, but online class burn out didn't make me listen to class at all, or motivated or keep me focused. And that burn out brought me back here. I would like to sat the videos may be simple, but I find it entertaining with how simple it is. Anyways, I better stop typing this comment before I distract myself from this lesson since my homework for this is due for today!

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yall know when the math final GRIND comes around, this guy is my lord jesus christ

@Kaijuren 4 жыл бұрын

Thank you so much, since we have converted to digital learning and we haven’t started using zoom yet for online classes because of the pandemic you are my go to source for all of my questions and they are always answered.

@angelorellana2305 4 жыл бұрын

A minute in and i already understand better than what my algebra teacher “tried” to teach us

@satvikkapoor23859 Жыл бұрын

The way you taught this concept it was so clear! For the first time in my life i understood maths so easily! Thankyou so much!

@zachary3112 5 жыл бұрын

omg thank you for all of the great examples and not just leaving us with one trash problem while walking away with the middle finger and saying good luck 😭

@alexr1865 4 жыл бұрын

So helpful in a time when I can’t even see my algebra teacher

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I love your easy style and managed to follow you easily even though i've never done this before, thank you

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in 11 minutes you explained what my math teacher couldn't. this is very helpful, thank you!

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Thank God for this guy. The textbook my school prescribed for us I couldn't understand it. This guy made me understand this. Thank you

@aren3343 5 жыл бұрын

best in the whole world. thx for explanation

@rudatinyaephrem3802 4 жыл бұрын

wow very interesting, i am gonna good at mathematics, thank you sir, even i don't see your face, i have CAT, this next week, promise you success, cause it's been long days without understand this

@sylphoia 2 жыл бұрын

dude thank you so much, you explained in 11 minutes what I had been confused about for a week. you're a lifesaver

@JamesBrodski 4 жыл бұрын

Amazing video. You need more subscribers!

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You’re an angel!!! I’m trying to revisit all the material I learnt back in high school and your videos are such a blessing.❤️

@dododolol3211 3 жыл бұрын

I truly thank you from my heart for all of your hard work and everything you do to help us. Thank you ! ❤️

@shubhada78 3 ай бұрын

This man saved my life. My math teacher is fine, but his english is absolutely horrible and i couldnt understand anything, now i did tysm and kudos to you

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this is the only channel i will watch the ads for cause he deserves it

@sabomosesandeabin5231 5 жыл бұрын

Thanks so much for this, you are a good maths teacher.

@XMoonOfTheSkyX 2 жыл бұрын

The amount of trig teachers who dont know how to teach and the people here are both amazing and sad as hell.

@Beantastic._. 3 жыл бұрын

It’s amazing how this guy could teach me this in 1 min and 11 sec.

@_txngie__111 3 жыл бұрын

May you pls help me with this f(x)= 3x-3 4

@steyeee 2 жыл бұрын

I had DAYS trying to understand this, the first 2 minutes were enough to understand this!! thank you sm

@makimi2nd 11 ай бұрын

Thank you so much for this video! I genuinely had so many difficulties understanding this for literally months since it was first introduced in my school and tutoring place. All my friends seem to already understand this concept and I felt really left behind and shameful that I didn't quite understand this concept yet. I didn't expect watching an 11 minute explanation video on youtube would give me my sudden eureka moment, but I absolutely did and it felt otherwordly. It just goes to show that you don't really need to spend a ton of money on tutoring to be able to understand and learn things. It's currently 11PM and I have a math test tomorrow so watching this is really helpful. I will be forever in your debt.

@savannah_warga 7 ай бұрын

was about to kms, this vid helped☺️

@kevensantos966 2 жыл бұрын

I'm from Brazil, I learned a lot more from your explanation than from my teacher; I really enjoyed the class.

@ecccc758 4 жыл бұрын

I can't thank this person enough for everything they've done for my education, from pre-calculus to organic chemistry, my degree and future degrees are because of The Organic Chemistry Tutor, Khan Academy, and Quizlet, the holy trio.

@Miranda_Writes 5 жыл бұрын

You make it so easy. Thanks!

@thomas9152 4 жыл бұрын

After the military I decided I wanted to go to college. I'm in my late 20s in remedial math. I thought I was going to major in CS. Although I have an A in my last remedial class, I think I'm too dumb to continue in CS. I'll be switching my major to something in the humanities. Sometimes my math homework makes me want to cry. I'm done trying to force something that I'm just not very good at. I'm always the top student in my liberal arts classes. I guess I'll stick to what I'm just naturally good at.

@larrybird8536 4 жыл бұрын

Alex Ledesma wishing you luck. I sympathize with your struggle in math. I find math beautiful and fascinating but cannot manage to be good at it.

@explosiveelephant8083 3 жыл бұрын

what's CS

@icesnowflake5510 3 жыл бұрын

Explosive Elephant It stands for computer science.

@explosiveelephant8083 3 жыл бұрын

@@icesnowflake5510 ah thank you

@icesnowflake5510 3 жыл бұрын

Explosive Elephant Np!

@corruptedz6670 3 ай бұрын

this is so easy, I wasn't expecting it to be this simple. Simple math like this makes me feel a little smarter.

@alpha1830 2 жыл бұрын

you sir are definitely gifted. the ease with which you explain topics like this is just mind blowing. thank you so much

@ericsupermagnificent 3 жыл бұрын

1:44 Finally.... softh!

@Kazwire 3 жыл бұрын

TLDR: just swap the x and y. Y = 3x + 4 becomes x = 3y + 4 just get the single Y by itself and you are done.

@tiamattyphoon9522 3 жыл бұрын

*you don't even ask for any subscription but you have a lot.that deserves to you.*

@howardmulenga7673 Жыл бұрын

God ❤bless you, you’ve helped me so much in my exams I had little time to prepare but have found it easy and I’m writing mathematics tomorrow

@harshnarayan7656 3 жыл бұрын

Ah yes the organic chemistry is strong in this one

@zamirfaqirzada2561 5 жыл бұрын

thank you so much

@aviakloo7478 4 ай бұрын

Damn bro, now my life is blessed and I'm feeling overwhelmed

@staceymills7481 Жыл бұрын

These comments make me feel like I'm not alone. I feel so depressed trying to understand my professor and then I come here and my confidence is boosted SO much!!!

@eljohnthefam 4 жыл бұрын

Do u have a video of graphing inverse function?

@evidence7338 4 жыл бұрын

Plug in random x values once you solve it and graph it like you would graph a regular function.

@navia810 4 жыл бұрын

Is there a order to how you arrange after cross multiplying? Cuz i just crossed multiplied, got the exact same answer but with inverted symbols. (Last problem)

@natew4611 4 жыл бұрын

same here, idk what it is

@natew4611 4 жыл бұрын

nvm, its nothing to worry about because both functions are the same.

@georgesadler7830 2 жыл бұрын

MR. Organic Chemistry Tutor, thank you once again for another smooth explanation on How to Find the Inverse of a Function.

@derek8036 Жыл бұрын

Pretty helpful thank you !!! 😃

@Icy_815 3 жыл бұрын

Who else is here in 2020 during online school because teachers cant teach worth a crap

@jillian1406 3 жыл бұрын

lol, same, i feel dumb when im the only one who doesn't understand in my class

@Icy_815 3 жыл бұрын

Jillian_star my teacher just sucks 😂

@jillian1406 3 жыл бұрын

@@Icy_815 samme,

@jillian1406 3 жыл бұрын

i mean, how did our teachers even get a teaching degree?

@Icy_815 3 жыл бұрын

Jillian_star I’ll ask a question and he’ll pause and then keep teaching

@somskid2118 4 жыл бұрын

I have an exam the morning I'm watching this😢

@mdtaseen 4 жыл бұрын

how was yur xm??

@abidshahriar7346 2 жыл бұрын

thank you so much. I can't express how much your lesson meant to me. the way you taught... excellent

@AnimeEdit4k. 5 ай бұрын

This guy is really a teacher he made me subscribe❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤ This is the 1000th comment

@illustryfe5354 5 жыл бұрын

How do you inverse with fractions?

@Ioading.. 5 жыл бұрын

AniJam you reverse the numerator and the denominator and if there is like subtraction or addition you just do the opposite of what it is. So if it was like y= 3/5x + 7 it would be y= 5/3x - 7

@maiterya5962 5 жыл бұрын

Caution510 _ thanks

@veemarie2488 5 жыл бұрын

i will pass precalc. say it with me. Love you, Muah 💋

@megalucario2321 10 ай бұрын

We gettin outta pre calc with this one 😤 thank you so much bruh

@tanukisocks8512 Жыл бұрын

i just became a tutor for college algebra, but since i haven't took the course in six months-- i needed to remember everything so thank you so much!

@domokilla9944 6 жыл бұрын

how do you get rid of a cubed root?

@Jazz-gb9lp 5 жыл бұрын

DomoKilla cube it

@shanboss8296 5 жыл бұрын

cube both sides of the equation.

@evidence7338 4 жыл бұрын

Cube both sides like she said

@2realexotic 6 жыл бұрын

my question is : x ≥ __

@Bao_to_julie 4 жыл бұрын

Thank you for being a wonderful substitute/teacher when needing help. I am not strong in the arithmetic area.

@Skyverb Жыл бұрын

You make every topic so much less frustrating. Ty!

@danielogsemen7874 2 жыл бұрын

there is literally no point in switching the x with y

@Deeeeer 2 жыл бұрын

well... im studying for finals and your 99% of my review and refresh on stuff i already learned (also u) ur the goat

@kelloggscereal5281 2 жыл бұрын

ur the GOAT, I’m in precalc honors and my teachers teaches for quick I can’t understand her, u just cleared everything up

@mickaelbyers9539 3 жыл бұрын

I have no idea if you will see this comment but you literally have the greatest tutorials ever. Thank you!!

@malakghalb8280 5 жыл бұрын

I swear to god you are a miracle it literlly took me 2 hours on your channel to understand everything I have been trying to understand the past year THANK YOU SOOOOO MUCH like really dude your videous should hit 30 million subscribes it's more usefull than story telling or funny videous

@Loading-tr7yv 2 жыл бұрын

Bruh I spent so long trying to figure this out and this man taught me in the first two minutes of this video

@mpagipatrick 3 жыл бұрын

Man you have a talent of teaching , i have learnt four chapters by your help . Award of best teacher goes to you

@borinesandreamae1858 4 жыл бұрын

this is very helpful. Easy to get, easy to understand thank you!

@YoruuVu 6 ай бұрын

in 5:16 it's easier to keep it as (x+2)^2 -2 it's a remarkable identity anyway, but thank u so much you explained me a whole chapter in 11 min

@jordan5741 5 ай бұрын

BLESS UR SOUL this concept had me in a chokehold up until now

@palakchaudhary5710 4 жыл бұрын

I think, this is very helpful video for all students..........., Thankyou sir....

@jonnaberdaje7451 2 жыл бұрын

Struggling with this equation just a week ago,tysm,u just explain it to me in just 2 min. that my teacher have failed to explain it to me lol ,keep it up

@shivanshkhandelwal859 2 жыл бұрын

Not me struggling to remember how to solve for inverse for almost a year and this guy removing my doubts in a matter of minutes

@Ryan_Wiseman 9 ай бұрын

Have a precalc test tomorrow and this is SO HELPFUL.

@chrisd3750 11 ай бұрын

After 5 years this video still helping, thank you so much!!!

@quenchieeee 3 жыл бұрын

I was skipping school. That's why I missed to learn mathematics and so now, that I'm focus on my studies? It turn CRAZY. Thank you so much. You made math easy.