If f (x) = 2x + 4, which of the following is the inverse of f (x) ?

O A. F-1 (x) = 2x=47

O B. $1 (x) = 7x * a

O c. f-' (x) = 2 (x+4)

OD. F-1 (x) = 7 (x = 4)

The inverse of f (x) is (x-4) / 2

Step-by-step explanation:

f (x) = 2x+4

To find the inverse let f (x) = y

y = 2x+4

Exchange x and y

x = 2y+4

Solve for y

Subtract 4 from each side

x-4 = 2y+4-4

x-4 = 2y

Divide each side by 2

(x-4) / 2 = 2y/2

(x-4) / 2=y

The inverse of f (x) is (x-4) / 2