Question

F(x) = -3x + 3, then
f-1(x) =

Answer 1

`f^(-1)`(x) =
`(3-x)/(3)`

Explanation:

Let y = f(x) and rearrange making x the subject, that is

y = - 3x + 3 ( add 3x to both sides )

3x + y = 3 ( subtract y from both sides )

3x = 3 - y ( divide both sides by 3 )

x =
`(3-y)/(3)`

Change x back into terms of y

`f^(-1)`(x) =
`(3-x)/(3)`