Question

8.) What is the inverse function of each of the following? (2 points each) Write your answer in the correct format. a) f(x)=4(3x-5)

Answer 1

Given:

`f(x)=4(3x-5)`

Required:

`f^(-1)(x)`

Solution:

First, set y = 4 ( 3x - 5), then solve for x in terms of y

`\begin{gathered} y=4(3x-5) \\ y=12x-20 \\ y-20=12x \\ 12x=y-20 \\ (12x)/(12)=(y-20)/(12) \\ x=(y-20)/(12) \end{gathered}`

Lastly, write the answer using x as a variable

`f^(-1)(x)=(x-20)/(12)`

Answer:

`f^(-1)(x)=(x-20)/(12)`