Finding the Inverse of a Function or Showing One Does Not Exist, Ex 1

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Finding the Inverse of a Function.
In this video I outline the procedure and do two complete examples of finding the inverse of a function.
For more free math videos, visit PatrickJMT.com

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He has taught me more in 8 minutes than my teacher has in 3 weeks.

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Cool lol

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HE MUST B E TEACHING U VERY DEEP BASICS..

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True

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me too.

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You explained this perfectly,thanks man.

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@aichansan well i have a ton of algebra and trigonometry videos, so i should have just about everything for precal.

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Couldn't figure this out in a two hour class, yet I instantly understood it with your explanation . Thanks a million patrick!

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8 minutes of your video taught me more than 3 hours of teaching by my high school teacher, thank you sir

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Thanx man!! I got referred to your channel by a friend 2 semesters ago, and I've been watching every since. You make it clear, perhaps more than my professors. I gotta go until Calculus and I'm starting to not mind. Thanx again. Big help. Keep em coming

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Thank you for showing me your method, screw my professor method

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Thank you. I am in PreCal now and it's been years since College Algebra (I changed my major to a math heavy major [Astronomy]). I had a problem on my homework just like your second example, except mine had F(x) = (4-3x)/(5x-4) and your step-by-step got me right through it to the point where I understand the purpose.

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[@patrickjmt]

@MrBacchusaphrodite instead of multiplying things out in your first step, i would divide by x, and 1 and then divide by 3 to get y alone

[@patrickjmt]

@masood104 y = x^2 is a function but it is not 1-1.

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[@patrickjmt]

actually, you would have to restrict it to x >= - 3 as that is the range of the original (remember, domain and range switch). but yes, you are right, i should have noted that!!

[@patrickjmt]

you are the one studying and taking the tests :) but all the same, happy to help a bit!

[@patrickjmt]

@KlariRIOT ha, no problem : ) glad u like the vids

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algebra is for 95% of calculus students, the thing they end up struggling with the most

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me too, that is why all of my newer videos use one :)

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thanks for watching for so long :)

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You just saved my day :D had an exam after 2 hours... Watched this vid and didnt quite fail thank you again

[@JacksonReynolds]

Excellent, concise, & easy to understand! Thank you so much!

[@SharronV]

This was awesome! You take your time and explain the process well 👍

[@benlundns]

Thank you for your help, this is just what I needed as a refresher on some of the basics.

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wowowowowowow! i'm very confused of my teacher's method today until i watched this.. thnx dude

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oh my god, you just saved me. THANK YOU SO MUCH, seriously. so much love.

[@patrickjmt]

you just switch the ordered pairs around - i am pretty sure i discuss this in this video

[@patrickjmt]

vertical. the horizontal line test tells you if the function is one to one, or not

[@Clodagh400]

hi how would you check if it is the inverse

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Seriously, Pat. You're the best!

[@patrickjmt]

@mrprinceque happy that my explanation works for you

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@redrum41987 come back whenever you need it, tons of stuff here ; )

[@generatorblue]

FYI: The inverse of a function of the form y = (Ax+B) / (Cx+D) is y = (-Dx+B) / (Cx-A). In your video, you have: y = (5x-3) / (2x+1) with A=5, B=-3, C=2, D=1 The inverse is: y = (-x-3) / (2x-5) Please watch my video entitled: "Inverse linear Ratios/Fractions theorem" for more details.

[@generatorblue]

AHMEDKHAN9549 The same answer indeed. Thanks!

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That 2nd question actually helped a stack!!!

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These are outstanding math videos, and the calculus videos are to. Thanks for makeing them

[@karank123]

Thank you so much! :) i have a test on graphs and functions tomorrow! :( this really helped! thanks :)

[@JonLG490]

why can i not subtract -2xy and add +3 on both sides instead?

[@Jackisaboss1208]

Algebra 2 test for me tomorrow on inverse and composite functions. This probably saved my grade

[@TeamELEMENT115]

Some of your videos are way better than Khan Academy, keep on doing those videos man there helping a lot of people out there.. :D

[@GuitarPeeker64]

@21ernz He just made the problem a bit clear... But to understand it carefully, he transposed the number 3, since it is negative three, when you put it on the other side, the sign of a number changes.

[@dixtre]

Thanks for the video. Its gonna help for my test tomorrow :)

[@thegurlcrystal]

thanks lots lots lots! my exam's tmr and this totally helped! : D

[@nicwayfarer]

Pat, can you make an example of Property of inverse functions? I understand how to find the inverse of a function, but to compare "the answer" with the "question" if it's a function? how do you do it? seems really complicated. Sorry.

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I was having trouble with the fraction itself. Thanks!

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so glad i found u right when my precal class started :)

[@waleedaltubeishi9568]

By adding(3) to both sides and subtracting(2xy)from both sides: x+3=5y-2xy x+3=y(5-2x) y=(x+3)/(5-2x) f^-1 (x)=(x+3)/(5-2x) Is my final answer right as it is multiplied by (-1)?

[@calfan3]

yes it is correct. if you ever want to check, just put a value for x and evaluate both versions to see if the answers match.

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+calfan3 thank you😀

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finally someone with a video thank you my teacher sucks!

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Mine too, O he also makes calculator jokes, really bad by the way.

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i gotta hear one

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and is it ok to do that cause i know on math all the ways lead to rome the equation is: f(x)=x-2/3 what i did is this: y=x-2/3 x=y-2/3 3x=y-2(taked the three up so it multiply with x) 3x+2=y (transfered -2 to the other side) thank u soooooooooooooo much again patrick i know i am loading u with questions but my exam is really really soon need that help!!

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thanks can you also post up a vid to find how do you know if the inverse of a function exists?

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[@patrickjmt]

@KinariAngel ha : )

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[@Terimuzik]

Thank you very much! this helped me with my algebra assignment :)

[@cs1maniac]

I graphed the first example. I thought the inverse was supposed to reflect the first F(x) over the X/Y Linear function (Y=X). They're to completely differnt graphs as well. Or I might not understand what the inverse function is idk

[@Aexerian11]

@TierAngst It's called Compositon of Functions. :3

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I used this video to study for my college's precalc final exam. I hope I can get an A!

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you, my friend, are a hero