Question 463306
Solve for x in terms of y:

{{{y - 1 = -2x^3}}}

<==>{{{(1-y)/2 = x^3}}}

<==>{{{ x = root(3, (1-y)/2)}}}

Interchange the places of x and y:

==> {{{y = root(3, (1-x)/2)}}}.  This is the inverse function.