Nov 27, 2016 · Finding inverse functions and understanding their properties is fairly basic within mathematics. During my studies it was found fairly simple and easy to comprehend that it was a …

Your polynomial is increasing, and its range is all reals, so there is an inverse. Finding a pleasant expression for the inverse is another matter. But one can find information about the derivative of the …

Sep 26, 2015 · When you meant "intersection", you mean the intersection of the image sets of the function and its inverse?

Jun 30, 2015 · Explore related questions calculus functions derivatives inverse See similar questions with these tags.

Mar 15, 2017 · I have been trying to solve this proof for some time in preparation for a test, though I'm not sure if I am going about this the correct way. Prove that if an inverse function exists, then it is u...

Oct 28, 2013 · The inverse for a function of $x$ is just the same function flipped over the diagonal line $x=y$ (where $y=f (x)$). So, if you graph a function, and it looks like it mirrors itself across the $x=y$ …

Apr 30, 2015 · I have been told that a function has an inverse if it is one-to-one or injective, but how can we rigorously prove this? I have been struggling to find a proof for days.

Nov 8, 2019 · So while it is very difficult/tedious (or impossible to do by hand) to compute the "general formula" for the inverse of the function in question, a careful application of the inverse function …

Dec 9, 2019 · The inverse of a binary relation is simply that relation obtained by interchanging the coordinates in each of the ordered pairs. Every relation has an inverse. Every function has an …

But the problem asks the student to verify the formula; that is, find the inverse of $g\circ f$ "directly", and then compare it to the function you get by computing $f^ {-1}\circ g^ {-1}$.