Question

I got this wrong on my homework and would like some help on how to solve it. thank you.

Answer 1

Given function,

$f(x)=8x^{\frac{1}{3}}$

The inverse of the given function,

$\begin{gathered} f^{-1}(x)=\frac{1}{8x^{\frac{1}{3}}} \\ =\frac{x^3}{8} \end{gathered}$

Thus, the given option b is correct.