Answer
\[\left( g\circ f \right)\left( 0 \right)=2\]
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, which can be obtained very easily from the above table.
$\begin{align}
& \left( g\circ f \right)\left( 0 \right)=g\left[ f\left( 0 \right) \right] \\
& =g\left( 4 \right) \\
& =2
\end{align}$
