The function is given
[tex]f(x)=x^3-1[/tex]
The inverse of the function is
[tex]y=x^3-1[/tex]
Swap the values of the x and y to find the inverse
[tex]x^3=y+1[/tex][tex]x=\sqrt[3]{y+1}[/tex]
Therefore the inverse of the solution is
[tex]y=\sqrt[3]{x+1}[/tex]
The graph of the inverse function is
