Question

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

$g\left(a\right)+9$

Short answer

The value of the function $g\left(a\right)+9$ is$a^2+5$

Step-by-step solution

Step 1. Interpreting of function.

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

Step 2. Apply substitution method.

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

$g\left(a\right)=a^2-4$

Step 3. Calculation.

$\begin{array}{l}g\left(a\right)+9=a^2-4+9\\ g\left(a\right)+9=a^2+5\end{array}$

Therefore, the value of the function $g\left(a\right)+9$ is$a^2+5$