Question

What is the inverse of the function f(x)= 1/4x-12

Answer 1

4x + 48

Explanation:

f(x) = 1/4x-12

y = 1/4x - 12

Switch variables.

x = 1/4y - 12

Solve for y.

x = 1/4y - 12

Add 12 on both sides.

x + 12 = 1/4y - 12 + 12

x + 12 = 1/4y

Multiply both sides by 4/1.

4/1(x + 12) = 1/4y × 4/1

4x + 48 = y

Answer 2

The inverse is 4x+48

Explanation:

y = 1/4x - 12

Exchange x and y

Solve for y

x = 1/4y -12

Add 12 to each side

x+12 = 1/4 y -12+12

x+12 = 1/4y

Multiply each side by 4

4(x+12) = 4*1/4y

4x+48 = y

The inverse is 4x+48