Question

The domain of a function h(x) is xs -2, and the range is y> 1. What are thedomain and range of its inverse function, h-(x)?

Answer 1

A. Domain: x<-2

Range: y> 1

Step-by-step explanation:

The inverse function f^-1(x) is a function whose domain and range are the range and domain of f(x) respectively.

Then, if the domain of f(x) is x>1, the range of the inverse function f^-1(x) is y > 1

And if the range of f(x) is y < -2, the domain of the f^-1(x) is x < -2

Therefore, the answer is:

A. Domain: x<-2

Range: y> 1

Answer 2

The domain of the inverse function will be the range of the original function, and the range of the inverse function will be the domain of the original function, so:

`\begin{gathered} D\colon x>1 \\ R\colon y\le2 \end{gathered}`