Question

Examples 4 and 5 If$f\left(x\right)=6x+7$ and$g\left(x\right)=x^2-4,$ find each value. (P. 49)

$g\left(5\right)$

Short answer

The function value at$g\left(5\right)$ is 21.

Step-by-step solution

Step 1. Interpreting of function.

$g\left(5\right)$Indicates the value of function$g\left(x\right)$ at$x=5$

Step 2. Apply substitution method.

Substitute$x=5$ into the function$g\left(x\right)$

Step 3. Calculation.

The function value at$x=5$ is calculated as follows:

$\begin{array}{l}g\left(5\right)={\left(5\right)}^2-4\\ g\left(5\right)=25-4\\ g\left(5\right)=21\end{array}$

Thus, the function value at$x=5$ is 21.