# How do you find the domain and range of the inverse of the given function f(x) = x^3 + 5?

Since the function ha domain $\left(- \infty , + \infty\right)$ and can assume every value in $\left(- \infty , + \infty\right)$,
and this is because ${\lim}_{x \rightarrow \pm \infty} f \left(x\right) = \pm \infty$,
the inverse function ${f}^{-} 1 \left(x\right)$ has domain that is the range of $f \left(x\right)$ and range, that is the domain of $f \left(x\right)$.