Chapter 8.7, Problem 3C

To determine

To find:

The value of $x$ , when $g(x)=19$ .

Answer to Problem 3C

Thevalue of $x$ , when $g(x)=19$ would be $6$ .

Explanation of Solution

Given:

A function: $g(x)=4x-5$

Calculation:

To find the value $x$ , when $g(x)=19$ , we will replace $g(x)$ with $19$ in our given function as shown below:

  $\begin{array}{l}g(x)=4x-5\left(\text{Given function}\right)\\ 19=4x-5\left(\text{Substituting }g(x)=19\right)\\ 4x-5=19\left(\text{Switching sides}\right)\\ 4x-5+5=19+5\left(\text{Adding 5 on both sides}\right)\\ 4x=24\\ \frac{4x}{4}=\frac{24}{4}\\ x=6\end{array}$

Therefore, thevalue of $x$ , when $g(x)=19$ would be $6$ .