### Home > A2C > Chapter 10 > Lesson 10.2.5 > Problem10-131

10-131.

Use the equation $f\left(x\right) = \left(x + 3\right)^{3} − 1$ to complete each of the following tasks.

1. Find the inverse equation.

y = (x + 3)3 − 1 Switch x and y.
x = (y + 3)3 − 1
(x + 1) = (y + 3)3

$\sqrt[3]{\textit{x}+1}=\textit{y}+3$

$\sqrt[3]{\textit{x}+1}-3=\textit{y}$

2. Graph the inverse equation.

Reverse the x- and y-coordinates.

3. Is the inverse a function? Explain.

Is there only one output $\left(y\right)$ for each input $\left(x\right)$?