Question

Find each value if $g\left(x\right)=-\frac{4x}{3}+7$.

$g(-2)$

Short answer

The value of g(- 2) is $\frac{29}{3}$.

Step-by-step solution

Step-1 – Functional notation

The Function notation is a way to write functions that is easy to read and understand.

Step-2 – Substitute the value of x.

If $g\left(x\right)=-\frac{4x}{3}+7$, then $g(-2)$ represents that we need to substitute $-2$ in place of x

$g(-2)=-\frac{4(-2)}{3}+7$

Step-3 – Simplify the equation.

$\begin{array}{l}g(-2)=-\frac{-8}{3}+7\\ g(-2)=\frac{8}{3}+7\\ g(-2)=\frac{29}{3}\end{array}$

So, the value of g(- 2) is $\frac{29}{3}$.