Chapter 8, Problem 22CR

To determine

To find:

The value of $x$ , when $g(x)=14$ .

Answer to Problem 22CR

The value of $x$ , when $g(x)=14$ would be $-4$ .

Explanation of Solution

Given:

A function:

  $g(x)=-2x+6$

Calculation:

To find the value $x$ , when $g(x)=14$ , we will replace

  $g(x)$ with 14 in our given function as shown below:

  $\begin{array}{l}g(x)=-2x+6\left(\text{Given function}\right)\\ 14=-2x+6\left(\text{Substituting }g(x)=14\right)\\ -2x+6=14\left(\text{Switching sides}\right)\\ -2x+6-6=14-6\left(\text{Subtracting 6 from both sides}\right)\\ -2x=8\\ \frac{-2x}{-2}=\frac{8}{-2}\left(\text{Dividing both sides by }-2\right)\\ x=-4\end{array}$

Therefore, the value of $x$ , when $g(x)=14$ would be $-4$ .