Question

Inverse of f(x)=12x^3

Answer 1

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

`\stackrel{f(x)}{y}~~ = ~~12x^3\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~12y^3} \\\\\\ \cfrac{x}{12}=y^3\implies \sqrt[3]{\cfrac{x}{12}}=y~~ = ~~f^(-1)(x)`