Question

Please help. Question listed below

Answer 1

`f^(-1)`(x) = (
`(9x-1)/(8)` )²

Explanation:

f(x) =
`(8√(x) +1)/(9)`

y =
`(8√(x) +1)/(9)`

Solve equation for x

8√x + 1 = 9y

8√x = 9y - 1

√x =
`(9y-1)/(8)`

(√x)² = (
`(9y-1)/(8)` )²

x = (
`(9y-1)/(8)` )²

Switch "x" and "y"

y = (
`(9x-1)/(8)` )²

`f^(-1)`(x) = (
`(9x-1)/(8)` )²