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 …

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.

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.

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...

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 …

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 $x=y$ …

Dec 9, 2019 · However, the inverse of a function, although still a relation, need not be a function. If the function is an injection then it must have a function inverse. \endgroup \endgroup

4 I am a little confused on the subject of inverse functions and the methods used to do the transformation from function to inverse. How do you make an inverse?

The other common way is to introduce log as the integral of $1/x$, and define the exponential function as the inverse of that. I’m not aware of any presentation that introduces the functions separately and …