Question 378066
Interchange the places of x and y: {{{x = -3y^3 + 1}}},

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