Restrict the domain of the function f(x) = (x – 5) 2 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 .

a.

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.

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.

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.

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.

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.

Mathematics

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