Question

The domain of a function g(x) is x > 3, and the range is y > 1. What are the domain and range of its inverse function, g^(-1)(x)?

A. Domain: x < 3, Range: y < 1
B. Domain: x < 1, Range: y < 3
C. Domain: x > 3, Range: y > 1
D. Domain: x > 1, Range: y > 3

Answer 1

The domain of the inverse function g^(-1)(x) is x > 1 and the range is y > 3.

Step-by-step explanation:

The domain of the inverse function g^(-1)(x) is equal to the range of the original function g(x), and the range of the inverse function is equal to the domain of the original function.

Given that the domain of g(x) is x > 3 and the range is y > 1, the domain of the inverse function g^(-1)(x) is x > 1 and the range is y > 3. This means that the inverse function will have a domain where x is greater than 1, and a range where y is greater than 3.