Question

What is the inverse of function ??
f(x) = 64x³ - 1

Answer 1

The inverse of the function f(x) = 64x³ - 1 is
`\frac{\sqrt[3]{x+1}}{4}`

Explanation:

First replace x with y.

`x=64y^3-1`

Then solve for y.

`y^3=(x+1)/(64)`

Cube root both sides.

`y=\frac{\sqrt[3]{x+1}}{4}`

Hence, the inverse is
`\frac{\sqrt[3]{x+1}}{4}`