Q36. - 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.

$g(-3)$

Step-by-Step Solution

Answer

The value of the function is -6.

Step 1. Interpreting of function.

$g\left(-3\right)$ Indicates the value of the function $g\left(x\right)$ at $x=-3$

Step 2. Apply substitution method.

Substitute $x=-3$ into the function $g\left(x\right)$

$g\left(-3\right)={\left(-3\right)}^2+5\left(-3\right)$

Step 3. Further calculation.

$\begin{array}{l}g\left(-3\right)=9-15\\ g\left(-3\right)=-6\end{array}$

Thus, the function value $x=-3$ is -6.