Let $f$ and $g$ be **inverse** functions.
The following table lists a few values of $f$, $g$, and $f'$.
$x$ | $f(x)$ | $g(x)$ | $f'(x)$
:-: | :-: | :-: | :-:
$2$ | $1$ | $9$ | $\dfrac13$
$9$ | $2$ | $10$ | $\dfrac{1}{12}$
$g'(2)=$ [[☃ numeric-input 1]]