If the Following Defines a One-To-One Function, Find Its Inverse $f(x)=3 x^{3}-6$

Multiple Choice

If the following defines a one-to-one function, find its inverse. If not, write "Not one-to-one."
- $f(x) =3 x^{3}-6$

A) $f^{-1}(x) =\sqrt[3]{\frac{x+6}{3}}$
B) Not one-to-one
C) $f^{-1}(x) =\sqrt[3]{\frac{x-6}{3}}$
D) $f^{-1}(x) =\sqrt[3]{\frac{x}{3}}+6$