Question

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

O A. F'(x) = 2(x-4)
O B. F-1(0) = Yexa?
O C. F"(x) = POMMAD
O D. F1(x) = T(x+4)

Answer 1

`{f}^( - 1) (x)= (x)/(2) - 2`

Explanation:

The given function is

`f(x) = 2x + 4`Let

`y = 2x + 4`

Interchange x and y.

`x = 2y + 4`

Solve for y,

`x - 4 = 2y`

Divide both sides by 2

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

Therefore;

`{f}^( - 1) (x)= (x)/(2) - 2`