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What is the Domain and Range of the inverse of the function with the following Domain and Range?

D: x > 2
R: y = All Real Numbers

1 Answer

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Final answer:

The inverse function will have a domain of all real numbers and a range where y > 2, essentially swapping the domain and range of the original function.

Step-by-step explanation:

The domain and range of a function describe the set of possible inputs and outputs, respectively. When finding the domain and range of the inverse of a function, the domain of the original function becomes the range of the inverse, and the range of the original becomes the domain of the inverse. Given the original function has a domain (D) where x > 2 and a range (R) covering all real numbers, the inverse function will have a domain of all real numbers and a range where y > 2.

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