06-11-2020
Mathematics

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The domain of a function f(x) is x>_ 0, and the range is y<_ -1. What are the domain and range of its inverse function, f'(x)?

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jimthompson5910 jimthompson5910

06-11-2020

Answer:

Domain of inverse: [tex]x \le -1[/tex]

Range of inverse: [tex]y \ge 0[/tex]

Explanation:

The domain and range swap. This is because the inputs (x) and outputs (y) swap roles when going from the original function to the inverse, and vice versa.

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