Question

Find the inverse of the function.
h(x)=-1/3x-5/3

Answer 1

`h^(-1)` (x) = 5 - 3x

Explanation:

let h(x) = y and rearrange making x the subject

y = -
`(1)/(3)` x -
`(5)/(3)` ( multiply through by 3 to clear the fractions )

3y = - x - 5 ( add 5 to both sides )

3y + 5 = - x ( multiply through by - 1 )

- 3y - 5 = x

change y back into terms of x with x =
`h^(-1)` (x) , that is

`h^(-1)` (x) = - 3x - 5