Chapter 14, Problem 5CT

To determine

To find : the image and preimage of $4$ .

Answer to Problem 5CT

The image is $4$ and preimage is $2$ .

Explanation of Solution

Given information : If $f\left(x\right)=\frac{1}{2}x+3$ .

Calculation :

The image and preimage is:

  $\begin{array}{l}f\left(x\right)=\frac{1}{2}x+3\\ x=4\\ f\left(4\right)=\frac{1}{2}\left(4\right)+3\\ f\left(4\right)=5\\ f\left(x\right)=4\\ 4=\frac{1}{2}x+3\\ 8=x+6\\ x=2\end{array}$