Find the domain and range of the inverse of the given function.
-$$f ( x ) = \sqrt [ 3 ] { 7 x - 1 }$$
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 $f(x) = \sqrt[3]{7x - 1}$ is a cube root function, which means it can take all real numbers as inputs and outputs. Therefore, its inverse will also have the domain and range as all real numbers, since the cube root function is one-to-one and onto over the real numbers.

Find the Domain and Range of the Inverse of the Given