Question

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)

Answer 1

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

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