Answer
The value of $f\left( g\left( 1 \right) \right)$ is $5$.
Work Step by Step
The $\left( f\circ g \right)$ can be defined as the composition of 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 carefully to calculate the values of the required function.
Again, solve for the value of $f\left( g\left( 1 \right) \right)$:
So from the above table, the value of $g\left( 1 \right)$ is $1$.
Therefore,
$f\left( g\left( 1 \right) \right)=f\left( 1 \right)$
And from the above table, the value of $f\left( 1 \right)$ is $5$.
So, the value of the composition $f\left( g\left( 1 \right) \right)$ is $5$.
Thus, the value of $f\left( g\left( 1 \right) \right)$ is $5$.
