Question

Solve for the inverse of: f(x)=1/8(x+1)^3

Answer 1

Answer:
`y=(8x)^{(1)/(3)} -1` or
`y=\sqrt[3]{8x} -1`

Explanation:

To find the inverse, you switch y with x and x with y. Then, you solve for y.

`y=(1)/(8) (x+1)^3` [switch y with x and x with y]

`x=(1)/(8) (y+1)^3` [multiply both sides by 8]

`8x=(y+1)^3` [cube both sides]

`\sqrt[3]{8x} =y+1` [subtract both sides by 1]

`y=\sqrt[3]{8x} -1` or
`y=(8x)^{(1)/(3)} -1`