Answer
$f^{-1}(2)=0$
Work Step by Step
To find $f^{-1}(2)$ means that you have to look for the value of $x$ such that $f(x) = 2$.
To achieve this, substitute 2 to $f(x)$ to have:
$f(x) = x^3+2
\\2 = x^3 + 2
\\2-2 = x^3
\\0=x^3
\\0=x$
Therefore $f^{-1}(2) = 0$.
