I was wondering how to continue with this problem:
The table below gives selected values for a differentiable and increasing function $f$ and its derivative. If $g$ is the inverse function of $f$, what is the value of $g'(3)$?
$f(0) = 1,f(1) = 3,f(2) = 11$.
$f'(0) = 1, f'(1) = 5, f'(2) = 13.$
I realize that since $(1,3)$ is on the initial function $f$, $(3,1)$ is on the inverse. However, I am a little confused as to how to continue from there.