Answer
The value of $\left( f-g \right)\left( 0 \right)$ is $-3$.
Work Step by Step
To find the value of $\left( f-g \right)\left( 0 \right)$, find the value of $ f\left( 0 \right)$ and the value of $ g\left( 0 \right)$.
It is seen from the graph that $ f\left( 0 \right)=-2$ and $ g\left( 0 \right)=1$.
Now find the value of $\left( f-g \right)\left( 0 \right)$,
$\begin{align}
& \left( f-g \right)\left( 0 \right)=f\left( 0 \right)-g\left( 0 \right) \\
& =-2-1 \\
& =-3
\end{align}$
Thus, the value of $\left( f-g \right)\left( 0 \right)$ is $-3$.
