Question

find the inverse of h(x). then graph the inverse.

1. h(x)=3x^3

Explanation:

Step1: Replace $h(x)$ with $y$

$y = 3x^{3}$

Step2: Swap $x$ and $y$

$x = 3y^{3}$

Step3: Solve for $y$

First, divide both sides by 3: $\frac{x}{3}=y^{3}$. Then take the cube - root of both sides: $y=\sqrt[3]{\frac{x}{3}}$. So, $h^{-1}(x)=\sqrt[3]{\frac{x}{3}}$.

Answer:

$h^{-1}(x)=\sqrt[3]{\frac{x}{3}}$