Respuesta :

Answer:

[tex]f^{-1}(x)=\frac{1}{4}x+3[/tex]

Step-by-step explanation:

We have been given the function [tex]f(x)=4x-12[/tex]

Below are steps for finding the inverse of the function.

Step 1:

Replace f(x) with y

[tex]y=4x-12[/tex]

Step 2:

Interchange x and y

[tex]x=4y-12[/tex]

Step 3:

Solve for y

[tex]x+12=4y\\\\y=\frac{1}{4}x+3[/tex]

Step 4:

Replace y with [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)=\frac{1}{4}x+3[/tex]

Answer:

Then for the second question, it would be the third option

Step-by-step explanation:

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