Chapter 14.1, Problem 2WE

To determine

To find: The image of $5$ and the pre image of 0 if the function is $g:x=8-3x$ .

Answer to Problem 2WE

The image of 5 is $-7$ and the pre image of 0 is $\frac{8}{3}$ for the function.

Explanation of Solution

Calculation:

Consider the given function $g:x=8-3x$ . It can be also written as $g\left(x\right)=8-3x$ .

To calculate the image of 5, substitute 5 for $x$ in the function.

  $\begin{array}{c}g\left(5\right)=8-\left(3\times 5\right)\\ =8-15\\ =-7\end{array}$

To calculate the pre image, equate the function with the given value.

  $\begin{array}{c}g\left(x\right)=0\\ 8-3x=0\\ x=\frac{8}{3}\end{array}$

Therefore, the image of 5 is $-7$ and the pre image of 0 is $\frac{8}{3}$ for the function.