Answer
\[{{f}^{-1}}\left( g\left( 10 \right) \right)=2\]
Work Step by Step
The value of the given composite function can be obtained using the definition of composite functions and the values of $f$ and $g$ at the required points, It can be obtained very easily from the above table.
$\begin{align}
& {{f}^{-1}}\left( g\left( 10 \right) \right)={{f}^{-1}}\left( -1 \right) \\
& =2
\end{align}$
So, ${{f}^{-1}}\left( -1 \right)=2$ because $f\left( 2 \right)=1$.
