Question 24632
To find an inverse function, first interchange the variables:
Instead of writing 
{{{y = 4x^3 - 8}}}, write
{{{x = 4y^3 - 8 }}}, and solve for y.


To solve for y, add +8 to each side:
{{{x+8 = 4y^3 }}}


Divide both sides by 4:
{{{(x+8)/4= y^3}}}
{{{y^3 = (x+8)/4}}}


Take the cube root of each side:
{{{y = root(3,(x+8)/4)}}}


R^2 at SCC