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.

   Hint (a):

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

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

   Answer (a):

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

2. Graph the inverse equation.

   Hint (b):

   Reverse the x- and y-coordinates.

3. Is the inverse a function? Explain.

   Hint (c):

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