Q37. - Algebra 1

Question

 If $g\left(x\right)=x^2+5x,$ find the value of $g(-2)$.

Step-by-Step Solution

Answer

The value of the function $g\left(-2\right)$ is -6.

Step 1. Interpreting of function.

$g\left(-2\right)$ Indicates the value of the function $g\left(x\right)$ at $x=-2$

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. Calculation.

$\begin{array}{l}g\left(-2\right)={\left(-2\right)}^2+5\left(-2\right)\\ g\left(-2\right)=4-10\\ g\left(-2\right)=-6\end{array}$

Therefore, the value of the function $g\left(-2\right)$ is -6.