Find the domain and range of the inverse of the given function.
-$$f ( x ) = x ^ { 3 } + 4$$
A) Domain: all real numbers; range: $[ 4 , \infty )$
B) Domain: $[ 0 , \infty )$; range: $[ 0 , \infty )$
C) Domain and range: all real numbers
D) Domain: $[ 4 , \infty )$; range: all real numbers

Question

Quizplus · Accepted Answer

The original function $f(x) = x^3 + 4$ is a cubic function, which is one-to-one and covers all real numbers for both its domain and range. The inverse function will also have the domain and range as all real numbers, since inverting the function does not restrict the input or output values in any way.

Find the Domain and Range of the Inverse of the Given