Question

Use the given graphs of f and g to evaluate the expression.

$g\left(f\left(0\right)\right)$

Short answer

The value of$g\left(f\left(0\right)\right)$ is $3$.

Step-by-step solution

– Composition of functions.

Composition of functions is defined as:

$\left(g\circ f\right)\left(x\right)=g\left(f\left(x\right)\right)$

– Given information.

The given graph is:

– Find the required value.

From the above graph it is clear that $f\left(0\right)=0$and $g\left(0\right)=3$. Use these values to find the required value.

localid="1646410114962" $\begin{array}{c}g\left(f\left(0\right)\right)=g\left(0\right)\\ =3\end{array}$

Thus, the value of $g\left(f\left(0\right)\right)$is $3$.