Question

the domain of a function f(x) is x > 1, and the range is y < -2. What are the domain and range of its inverse function, f^-1(x)?

Answer 1

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Answer:

• domain: x < -2
• range: y > 1

Explanation:

Domain and range of the inverse function are swapped: the domain of the function is the range of its inverse, and vice versa.

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The graph shows an example of a function and its inverse with the given domain and range. The function is red; its inverse is blue.