Find the domain and range of the inverse of the given function.
-$$f ( x ) = x ^ { 3 } + 1$$
A) Domain: $[ 1 , \infty )$; range: all real numbers
B) Domain and range: all real numbers
C) Domain: $[ 0 , \infty )$; range: $[ 0 , \infty )$
D) Domain: all real numbers; range: $[ 1 , \infty )$

Question

Quizplus · Accepted Answer

The inverse of $f(x) = x^3 + 1$ is $f^{-1}(x) = \sqrt[3]{x - 1}$, which is defined for all real numbers, making both its domain and range all real numbers.

Find the Domain and Range of the Inverse of the Given