Restrict the domain of the function f so that the function is one-to-one and has an inverse function. Then find the inverse function f-1. State the domains and ranges of f and f-1.
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f(x) = (x - 5)2
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A.

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The domain of f and the range of f-1 are all real numbers x such that x ? 5.

The domain of f-1 and the range of f are all real numbers x such that x ? 0.


B.

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The domain of f and the range of f-1 are all real numbers x such that x ? 0.

The domain of f-1 and the range of f are all real numbers x such that x ? -5.


C.

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The domain of f and the range of f-1 are all real numbers x such that x ? 5.

The domain of f-1 and the range of f are all real numbers x such that x ? 0.


D.

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The domain of f and the range of f-1 are all real numbers x such that x ? 0.

The domain off-1 and the range offare all real numbersxsuch thatx ? 5.


E.

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The domain of f and the range of f-1 are all real numbers x such that x ? -5.

The domain of f-1 and the range of f are all real numbers x such that x ? 0.



Answer: C

Mathematics

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