Question

If f(x) = 9x – 8, which of the following is the inverse of f(x)?

A.
f –1(x) =

B.
f –1(x) =

C.
f –1(x) =

D.
f –1(x) =

Answer 1

Answer:
`f^(-1)` (x) =
`(x+8)/(9)`

Explanation:

f(x) = 9x - 8 , to find the inverse of f(x) , replace f(x) with y , then the equation becomes

y = 9x - 8 , then make x , the subject of the formula ,

9x = y + 8

x =
`(y+8)/(9)`

Finally , replace x , with
`f^(-1)` (x) and y with x , so we have

`f^(-1)` (x) =
`(x+8)/(9)`