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

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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!

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Lord*

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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!

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

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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 :)

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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!

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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.

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Next video: how to reverse letters

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

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

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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!

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Excellent explanation! Thorough and concise.

[@chamindasilva7629]

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

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UR VIDEOS ARE THE BEST

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Thanks so much for this Ms Nancy 💖

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You are great Nancy

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Great clarity.

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You are the best Nancy!

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i actually needed this ,3

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Thank you, NancyPi :D

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I love u, and u make me love math

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Good video. I had forgotten this stuff.

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Fantastic explanation!

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I LOVE YOU NANCY

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

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Thank you!

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whats the name of the university?

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🎉Thank you so much‼️

[@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.

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thanks for the video!!!!

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i think you the best math teacher ever...

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Yes

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Make linear algebra vids please. Thanks Nancy!

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

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

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Fabulous as usual save hours of reading.

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Good lesson

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Thank you

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Thank you for your videos....from Philipinnes

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

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Like the vidio helped me with precalculus

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thaaaank you. Ευχαριστώ κούκλα

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Thanks

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Make a video on differential equations

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Smart solution

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Hey can you plz make a video on alevel math trigonometry

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This is way better than my lecture wtf

[@orp0piru]

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

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make more videos ! school is hard

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Otherwise love your videos NancyPi