Question

A cubic root function has a domain of x≥7 and a range of y≥−1 .

What is the domain of its inverse?
Responses

x≥1
x is greater than or equal to 1

x≥−1
x is greater than or equal to negative 1

x≥−7
x is greater than or equal to negative 7

Answer 1

x≥−1, x is greater than or equal to negative 1

Explanation:

The inverse of a function switches the roles of x and y, making the original range the new domain and the original domain the new range. In this case, the original domain is x≥7 and the range is y≥−1, so the inverse has a domain of y≥−1 and a range of x≥7 :)

Answer 2

x≥−1

Explanation:

The domain of the inverse of a function is the range of the original function. The range of the cubic root function is y≥−1, so the domain of its inverse would be x≥−1.