Identifying an Inverse Function for a Given Input-Output Pair

If for a particular one-to-one function $f (2) = 4$ and $f (5) = 12,$ what are the corresponding input and output values for the inverse function?

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
The inverse function reverses the input and output quantities, so if

$\begin{matrix} f (2) & = & 4, then f^{−1} (4) = 2; \\ f (5) & = & 12, {then f}^{−1} (12) = 5. \end{matrix}$
Alternatively, if we want to name the inverse function $g,$ then $g (4) = 2$ and $g (12) = 5.$

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Given that $h^{- 1} (6) = 2,$ what are the corresponding input and output values of the original function $h ?$

How did it go?