Find the domain and range of the inverse of the given function.
-$$f ( x ) = \sqrt [ 3 ] { 4 x - 1 }$$
A) Domain: $[ 0 , \infty )$; range: all real numbers
B) Domain: all real numbers; range: $[ 0 , \infty )$
C) Domain and range: all real numbers
D) Domain: $[ 1 , \infty )$; range: $[ 0 , \infty )$

Question

Quizplus · Accepted Answer

The given function $f(x) = \sqrt[3]{4x - 1}$ is a cube root function, which means it can take all real numbers as its input and its output can also be all real numbers. The inverse function essentially swaps the roles of the input and output, but since both the domain and range of the original function are all real numbers, the domain and range of the inverse function will also be all real numbers.

Find the Domain and Range of the Inverse of the Given