Question

please help to solve the inverse of
Y =X^3 -X +6

Answer 1

\[ x = 1/6\,\sqrt [3]{-648+108\,y+12\,\sqrt {2904-972\,y+81\,{y}^{2}}}+\]
\[
2\,{
\frac {1}{\sqrt [3]{-648+108\,y+12\,\sqrt {2904-972\,y+81\,{y}^{2}}}}} \]

Answer 2

http://www.wolframalpha.com/input/?i=y%3Dx%5E3-x%2B6%2C+inverse