Q14. - Algebra 1

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)

$g\left(5\right)$

Step-by-Step Solution

Answer

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

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.