Q35. - Algebra 1

Question

Examples 4 and 5 If $f\left(x\right)=-2x-3$ and $g\left(x\right)=x^2+5x,$ find each value. (P. 50)

$g\left(2\right)$

Step-by-Step Solution

Answer

The value of the function is 14.

Step 1. Interpreting of function g 2 .

$g\left(2\right)$ Indicates the value of function $g\left(x\right)$ at width="36" style="max-width: none; vertical-align: -4px;" $x=2$

Step 2. Apply substitution method.

Substitute $x=2$ into the function $g\left(x\right)$

$g\left(2\right)={\left(2\right)}^2+5\left(2\right)$

Step 3. Further calculation :

$\begin{array}{l}g\left(2\right)=4+10\\ g\left(2\right)=14\end{array}$

Thus, the function value at $x=2$ is 14.