Inverse of a Function

Definition of Inverse of a Function
How to find the inverse of a function by solving for x, then switching the x and the y.

[@profphilbell2075]

That’s great. Straight forward and succinct. No doubt the students would want you to sketch the function and its inverse showing intersecting points with the x any y axis plus intersection of the functions where appropriate.

[@shanvadi1464]

Sir, you are making maths simpler and fun. I have only school maths basic and I wish you teach fundamental like calculus, trigonometry and other basics for the general public. Thanks

[@bigblackaf]

I was working on some similar problems in preparation for my math MTEL middle school 5-8 test. I did it by replacing x & y at the beginning and solving for y, got the same answer. Thanks for the videos and keep them coming.

[@faridayasmin7043]

Please make playlists from basis ot advance on particular chapters one by one. We all like you lectures. love from bangladesh 🇧🇩🇧🇩🇧🇩🇧🇩🇧🇩 3:11

[@jesusvega6316]

Thank you professor

[@villagefood6335]

You always go for the subtle issues which makes your videos great for basic math. Thanks.

[@CC_ImmerGreenTea]

Helpful thank you professor

[@ockham1963]

Love it. Great explanation and to the point. Keep 'em coming

[@mrhtutoring]

Will do. Thank you.

[@ghazalayasmen2030]

You are a great teacher

[@CloudslnMyCoffee]

the way he can write sideways on the board so well

[@dhimandasgupta5531]

Thank you sir!

[@natynatybynature3977]

Thank you professor !

[@manuelmedina7155]

Mr H you can use the adjugate matrix in order to find the inverse.

[@aku7598]

Maybe 4th line added f'[(2x+3)/(x-1)]=x as example on line #2.

[@MathsTuitionBangla]

Thanks

[@swissengineer8453]

Nice reminder

[@rameshghonge6862]

Very nicely explained Thanks Sir

[@mrhtutoring]

Thanks for liking

[@marksd5650]

Curious, why would we have a problem: f(x)=2x+3/x-1
Meaning, where would that problem come from? This is something that bothered me in calculus. I can solve this problem (because of your help), but why would this problem arise in the first place. Best Regards Mr. H.

[@Orillians]

PLEASE MAKE VIDOES BASED OFF ON CHAPTERS !!!

[@mmh1922]

There is a bit of confusion in writing two dufferent equations for y.

[@dear_dennis]

I understand your confusion. I had it as well.
The letter "x" and "y", are just "placeholders". They might as well be "q" and "p", or any other symbol or letter.
The important thing is the inverse function itself . This being ; "(Independant_variable +3) / (Independant_variable +2)" .
In the end he switches the "x" and the "y", to be consistent with the original notation f(x).
Even if it seems as a mechanical process it will save you a lot of abract confusion when finding the inverse function. Finally, I suggest going through a calculus book and searching for the formal definition of "Inverse function".
PS: The "-1" in the notation "f^(-1) (x)" is just notation! It is NOT equal 1/f(x).

[@RahiVItorBeast007]

​@@dear_dennisI see that he switched x and y after he isolated the variables. I was taught to switch both variables at the beginning, right after substituting f(x) with y. I see that his method is more consise

[@user-ld7ez2mw9p]

❤

[@noGAY126]

miss your blackboard teaching

[@JulesMoyaert_photo]

🙏Subscribed!

[@leomicabalo7142]

Thank u very much sir

[@mrhtutoring]

Most welcome

[@lazaremoanang3116]

So simple, after taking the matrix, the answer is f^(-1)(y)=(-y-3)/(-y+2).

[@user-sc9bm1oi6d]

What's his name?

[@zainuddinpawaney5479]

Good, but the last 3 steps idid not understand. Invertal function.

[@talhahaque-sq2bc]

Professor,please add bangla subtitle.

[@trevorjames4619]

Easy Peasy.

[@mmh1922]

*Different.

[@user-up7go9ft6f]

nudaw pota

[@seaalbahr107]

Thanks