Question

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

Answer 1

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

Step-by-step explanation:

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

$y=\frac{1}{8} (x+1)^3$          [switch y with x and x with y]

$x=\frac{1}{8} (y+1)^3$          [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 $y=(8x)^{\frac{1}{3}} -1$