Question

Write the inverse function for the function, ƒ(x) = 1/2 x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.

ƒ -1(x) =

ƒ -1(4) =

Answer 1

`{f}^( - 1) (x) = 2x - 8`

`{f}^( - 1) (4) = 0`

Explanation:

`y = (1)/(2) x + 4 = = = > \\y - 4 = (1)/(2) x = = = > \\ 2y - 8 = x = = > {f}^( - 1) (x) = 2x - 8`

`(1)/(2) x + 4 = 4 = = = > \\ (1)/(2) x = 0 = = = > x = 0`