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.
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
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.
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).
@@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
