Answer
The value of $\left( f\circ f \right)\left( -4 \right)$ is $0$.
Work Step by Step
We know that the function $\left( f\circ f \right)\left( x \right)=\left( f\left( f\left( x \right) \right) \right)$
So, $\left( f\circ f \right)\left( -4 \right)=f\left( f\left( -4 \right) \right)$
First of all, find the value of $ f\left( -4 \right)$ from the graph that is $ f\left( -4 \right)=0$.
Then,
$ f\left( f\left( -4 \right) \right)=f\left( 0 \right)$
So, from the graph, one can see
$ f\left( 0 \right)=0$
Thus, the value of $\left( f\circ f \right)\left( -4 \right)$ is $0$.