Chapter 4.6, Problem 4P

To determine

To find:The range of $g(x)=4x-12$ .

Answer to Problem 4P

  $\{-8,0,8,16\}$

Explanation of Solution

Given information:The domain of $g(x)=4x-12$ is $\{1,3,5,7\}$ .

Calculation:

  $\begin{array}{l}g(x)=4x-12\\ g(1)=4(1)-12=4-12=-8\\ g(3)=4(3)-12=12-12=0\\ g(5)=4(5)-12=20-12=8\\ g(7)=4(7)-12=28-12=16\end{array}$

Thus, the range of $g(x)=4x-12$ is $\{-8,0,8,16\}$ .