If f (x) = 1/2x - 10, then f^-1 (x) =

f^-1 (x) = 2x+20

Step-by-step explanation:

f (x) = 1/2x - 10

To find the inverse, replace f (x) with y

y = 1/2 x - 10

Exchange x and y

x = 1/2 y - 10

Solve for y

Add 10 to each side

x+10 = 1/2 y-10+10

x+10 = 1/2 y

Multiply by 2

2 (x+10) = 1/2y * 2

2x+20 = y

The inverse is

f^-1 (x) = 2x+20