Question

Find the inverse of each given functions. f(x) = 4x − 12

Answer 1

Answer:

$y=\frac{x+12}{4}$

Step-by-step explanation:

$y=4x-12$

Replace all x's with y's and all y's with x's

$x=4y-12$

Solve for y

$y=\frac{x+12}{4}$

Answer 2

Answer:

y=1/4x+3

Step-by-step explanation:

To find the inverse, switch x and y or f(x)

f(x)=4x-12

y=4x-12

x=4y-12

Add 12 to both sides

x+12=4y-12+12

x+12=4y

Divide both sides by 4

x+12/4=y

1/4x+12/4=y

1/4x+3=y

y=1/4x+3