Find the domain and range of the inverse of the given function.
-$$f ( x ) = x ^ { 3 } + 5$$
A) Domain: all real numbers; range: $[ 5 , \infty )$
B) Domain: $[ 0 , \infty )$; range: $[ 0 , \infty )$
C) Domain: $[ 5 , \infty )$; range: all real numbers
D) Domain and range: all real numbers

Question

Quizplus · Accepted Answer

The original function $f(x) = x^3 + 5$ is a cubic function, which is one-to-one and covers all real numbers both in its output and input. Therefore, its inverse function will also cover all real numbers in both its domain and range.

Find the Domain and Range of the Inverse of the Given