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Restrict the Domain of the Function F So That the Function

Question 43

Multiple Choice

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. ​
F(x) = |x - 9| + 1
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A) f-1(x) = x + 8 The domain of f and the range of f-1 are all real numbers x such that x ≥ 9.The domain of f-1 and the range of f are all real numbers x such that x ≥ 1.
B) f-1(x) = x - 8 The domain of f and the range of f-1 are all real numbers x such that x ≥ 9.The domain of f-1 and the range of f are all real numbers x such that x ≥ 1.
C) f-1(x) = -x - 8 The domain of f and the range of f-1 are all real numbers x such that x ≥ 1.The domain of f-1 and the range of f are all real numbers x such that x ≥ -9.
D) f-1(x) = x + 8 The domain of f and the range of f-1 are all real numbers x such that x ≥ -9.The domain of f-1 and the range of f are all real numbers x such that x ≥ 1.
E) f-1(x) = -x + 8 The domain of f and the range of f-1 are all real numbers x such that x ≥ 1.The domain of f-1 and the range of f are all real numbers x such that x ≥ 9.

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