How to Find the Inverse of a Function (NancyPi)

MIT grad shows how to find the inverse function of any function, if it exists. The inverse function is the reverse of your original function. It undoes whatever your function did. If your function takes x and gives you y, then the inverse function takes that y and gives you back x. Nancy formerly of MathBFF explains the steps.
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How to find inverse functions: There are three steps to finding the inverse function, if it exists. The first step is to replace the f(x) with just the variable y. Second, swap the x and y variables everywhere they appear in the equation. Third, solve for y again so that you have just "y=" on one side of the equation. If this relation is a function, you can then replace the y with the "f inverse x" notation, or f^-1(x). To know if it is a function, use the Vertical Line Test or consider the form of the equation. Remember that in a function equation, for every x you input into the equation, there can only be one corresponding y value. For an example problem, jump to 00:43 in the video.
For more of my math videos for algebra, algebra 2, precalculus, and more, check out: nancypi.com

[@bert221221]

Good lord, respect.
"Why is this important?"
"Great question, I don't know. But screw it, here's an easy explanation that won't require 30 minutes on Khan academy"
Thank you Nancy, much appreciated!

[@ray-annarodney2952]

Lord*

[@cefb8923]

Two things I love in this comment, one, why are we learning any of this crap? (So it can be a wash out course to make people go take liberal arts or business degrees) Awesome! Why learn things that will be useful in our future careers!
Two, NancyPi > KhanAcademy.

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[@user-mn4zn6jx4j]

I hate khan academy

[@toastycrystaleclxpse3423]

@@cefb8923 you need to learn it if you want to be an engineer or computer scientist

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Her voice makes me feel safe

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Nancy's voice is so soothing it makes me understand the topic in question much more easily.

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Actually has a hint of sarcasm

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@@fredhaynes5847 Therapeutic

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This is one of the characteristics of a serial killer (jk)😂

[@raymondwolf_1017]

When you have a test in 10 minutes and still don’t understand anything- thank you!

[@mmaighrd]

Next video: how to reverse letters

[@YellinHelenP]

You are so relaxed and clear you are a gift! You take something that induces stress become a calm experience so that learning really begins.

[@adhilmuhammed9402]

Me : why do I want to learn this?
Nancy : I don't know your teacher wants you to do this
Lol😁😁😁

[@MG-nb1nd]

Hahaha

[@miaulink1152]

Somehow or another it's used (or gone back to) in calculus with derivatives. I'm in a section on it, but since I can't remember how to do inverse stuff, that's why I'm watching the video.

[@lutaayaabdulwahabu7680]

Me too 🤣🤣

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[@pips_queaky]

Teaching math with inverse writing? Who the heck can do that? except you. RESPECT. From PH

[@Niovo]

omg thank you for starting off with explaining what inverse of a function actually means. Had a hard time understanding what it meant. Great video!

[@s_patzz8212]

Watching this during Corona-lockdown... I've been reading a lot of popular physics so far and as it's been going well, so i thought to myself i really must get my head around calculus. Knowing that @NancyPi is the absolute best i figured, start at the very beginning of her precalc series. Having watched this first video, i'm happy to report that I am none the wiser and now there is a nerve twitching on the side of my head :)

[@cjpopkes9627]

Always the best explanation and presentation. NancyPi is the first and only resource needed when my kids need some homework help.

[@somacruz7758]

I have to say this, I was nervous and full of anxiety just by trying and not getting it. I stepped back and took a break but I told myself I can’t give up. So then I found your video on a whim just by trying something. Man you saved me and now I understand, I’m thankful for this video and your help as well as my teachers. Thanks again!

[@nathanmclaren8361]

Thank you for your videos!!! Its really helping me, I am a part time engineering student.. This really helps me understand maths much better

[@bilton3183]

THank so much Nancy. You have opened my future in this topic and where you explained about domains. .

[@PoeticSonic]

thank you it was very clear with a usable example rather than in other videos. again THANK U

[@DanieWise]

Your videos are the only helpful math videos I have watched! Thank you soo much!

[@isaiahmoss2892]

Thank you so much. I am good at math but been out of school for a while. Your explanation excellent.

[@vive335]

Helpful, she explained in very easy words. I like teachers like that. I’m not very experienced in math.

[@davidschmidt5507]

I don't know if anyone will believe me but I actually used this in practice in my life when I was building stuff so thanks for the refresher video!

[@SpeedyWeedyYT]

Nancy is a life saver for people with ADHD. She explains it slowly so we can follow along, and I love her for that.

[@Sophia-fc9qn]

A true savior. Some one I can actually understand

[@ed684]

Why you explain so clear..you are saving my life!

[@muhammdmahedi3070]

You are my best teacher . U make math easier. Thanks a lot

[@sayleeraut]

thank you so much for this🥰everything is crystal clear❤

[@geeklafreak2638]

Thank you for all your videos and hard work

[@chamindasilva7629]

Thanks for teaching me how to find the inverse function of any function.

[@michaelpappas3857]

Excellent explanation! Thorough and concise.

[@KitanaiharE]

Your vids are a godsend.

[@shinchananddoraemonlover6278]

Hi nancy would love to see more video lectures of yours.

[@mistermeaty993]

1 a.m. and i have been studying for my final since 10 a.m when i woke up thanks for the help

[@metalmanny0000]

Can you do integration by parts cal 2? Just covered this yesterday and definitely could use a video over that please 😃.

[@jeramellg1]

Thanks so much for this Ms Nancy 💖

[@davidkwon1872]

Thank you. This is so good to my son and daughter.

[@syedamanat6241]

Even though i didnt watch it, i'll hit the like button because Math education support by Nancy is what most students need.

[@hmmm6503]

UR VIDEOS ARE THE BEST

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Great videos keep up the good work

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I love u, and u make me love math

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Peace

[@rlewis1946]

You are a wise person to seek knowledge from a truly gifted teacher. We wish you the very best in your mathematical studies!
RL Buffalo, NY USA

[@tomdugma1]

whats the name of the university?

[@kibhab6414]

You are great Nancy

[@IlaizaMendoza]

omg thank you i need this kind of exampleee!!!! thank you

[@camurgo]

Good video. I had forgotten this stuff.

[@frs535]

Fantastic explanation!

[@lutaayaabdulwahabu7680]

The best teacher, I've got the concept 🤓🤓

[@gyannyyeboah9453]

Thanks a lot, you made it so simple.

[@kuonkhailechdawech2309]

You are the best Nancy!

[@justjacqueline2004]

Great clarity.

[@NJCC2011]

Thank you, NancyPi :D

[@Ellen_Moshaga]

i think you the best math teacher ever...

[@geemaroy3701]

Yes

[@davidramrod7610]

Very helpful. Thank you!

[@lealdeadonisjason5616]

Thank you so much it help me a lot

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I love your teaching skill

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i actually needed this ,3

[@con-0310]

very helpful video, thanks:)

[@SuperYoonHo]

Thank you!

[@KylehasShifts]

best tutor out there

[@CarlyDayDay]

Have you ever done a video on the precise definition of a limit?

[@anismatar]

One comment about swapping x and y I think people do it so they can later on solve for y as they are used to since y actually represents old x but makes the dealing with equation easier.

[@siqueirasebastiao6973]

Thankes you for nancypi

[@runforestrun3556]

Why am I watching this at 4 AM. Idk
But I learned something though

[@justrightpath]

i am in love with her voice❤️😍❤️

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I LOVE YOU NANCY

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you're a life saver

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Your the best one nancy

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So much better than my maths lecturer.

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You deserved a subscribe and likeee 🥺💖

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Thank you very much appreciated😤

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🎉Thank you so much‼️

[@parmindersinghraj7424]

thanks for the video!!!!

[@queenanne2367]

Great video! this helped me a lot, doing some review just to be ready for my online classes. I'm a stem student btw hueeeee idk why i chose this. byeee engineering here i go jk

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Niceeeee thank you!

[@danielmayo1336]

I learn math teacher and still make my English more improved. Daniel Mayo Rio de Janeiro, Brazil 🌹💋👏👏👏👏👏👏👏👏👏

[@jensmalzer6344]

Do u have the coronavirus

[@hamsack981]

Make linear algebra vids please. Thanks Nancy!

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Thanks 4 your video

[@edwardmulenga7783]

Thank you Nancypi..... I have an exam tomorrow

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Sending my love❤❤❤ from Mombasa Kenya 🇰🇪🇰🇪 Nancy 📍

[@DavidPaulNewtonScott]

Fabulous as usual save hours of reading.

[@ALLCAPS]

Thank you!

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thnk you nancy for making such videos
love from Afghanistan💌

[@ckmc05]

Thank you for your videos....from Philipinnes

[@monzirmohamed6878]

Like the vidio helped me with precalculus

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Thanks Nancy you're real asf

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Thanks nancy you really help me 😁🇷🇼

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LIFE SAVER

[@aryamansarkar]

nice video maam love it

[@matthewantrim3472]

Thank you

[@mubaarigkoosaar9150]

Good lesson

[@orp0piru]

How does the original function's limitation (x cannot equal zero) limit the usage of the inverse function?

[@DeepakJain-tg3il]

Thanks

[@isidorosargyroudis4128]

thaaaank you. Ευχαριστώ κούκλα

[@amyroberts8691]

Hey can you plz make a video on alevel math trigonometry

[@jamgamer]

This is way better than my lecture wtf

[@shubhamjain9433]

Make a video on differential equations

[@justrightpath]

this is what i wanted

[@mics.]

wait, let me watch it again, i was too amazed by the way she writes to understand a single thing earlier.

[@caribaez5711]

Still confused though..

[@mbs0710]

Dere was a shortcut technique too tho which I forgot 🙈

[@singgihsolution2467]

Smart solution

[@miaagainsttheworld]

thank you omg

[@mwilaarthurtumba3782]

Hey Nancy please make a binary operations tutorial video please

[@preet9343]

so is the inverse in discrete math the same as transpose in linear algebra?

[@Mr_Catt_555]

How can you do that??

[@kiohkygo1259]

make more videos !
school is hard