Answer
The value of $f\left( g\left( 4 \right) \right)$ is $-1$.
Work Step by Step
$\left( f\circ g \right)$ can be defined as the composition of the function f with g and $\left( f\circ g \right)\left( x \right)$, which is equivalent to $f\left( g\left( x \right) \right)$.
Now study the above table very carefully to solve for the values of the required function.
Also, find the value of $f\left( g\left( 4 \right) \right)$:
So from the above table, the value of $g\left( 4 \right)$ is $2$.
Therefore,
$f\left( g\left( 4 \right) \right)=f\left( 2 \right)$
And from the above table, the value of $f\left( 2 \right)$ is $-1$.
So, the value of the composition $f\left( g\left( 4 \right) \right)$ is $-1$.
Thus, the value of $f\left( g\left( 4 \right) \right)$ is $-1$.
