Question

Find a formula for the inverse of the following function, if possible. Or does it not have an inverse function?

Answer 1

$\bf r(x)=\cfrac{x^5+3}{-6}\impliedby \textit{first we switch around the variables} \\\\\\ x=\cfrac{r^5+3}{-6}\implies -6x=r^5+3\implies -6x-3=r^5 \\\\\\ \sqrt[5]{-6x-3}=r\impliedby r^{-1}(x)$