Chapter 14.5, Problem 2ST1

To determine

To find the image of $2$ and the preimage of $2$ .

Answer to Problem 2ST1

The image is $-1$ and the preimage is $3$ .

Explanation of Solution

Given information:

The given function is:

  $f\left(x\right)=3x-7$

Calculation:

The image can be calculated by:

  $\begin{array}{l}f\left(x\right)=3x-7\\ f\left(2\right)=3\left(2\right)-7=-1\end{array}$

The preimage can be calculated by;

  $\begin{array}{l}f\left(x\right)=3x-7\\ 3x-7=2\\ 3x=9\\ x=3\end{array}$

Hence, the image is $-1$ and the preimage is $3$ .