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Restrict the Domain of the Function F So That the Function

Question 509

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 - 5) 2


A) f1(x) =x5f ^ { - 1 } ( x ) = \sqrt { x } - 5
The domain of f and the range of f-1 are all real numbers x such that x \ge 5.The domain of f-1 and the range of f are all real numbers x such that x \ge 0.
B) f1(x) =x+5f ^ { - 1 } ( x ) = \sqrt { x } + 5
The domain of f and the range of f-1 are all real numbers x such that x \ge 0.The domain of f-1 and the range of f are all real numbers x such that x \ge -5.
C) f1(x) =x+5f ^ { - 1 } ( x ) = \sqrt { x } + 5
The domain of f and the range of f-1 are all real numbers x such that x \ge 5.The domain of f-1 and the range of f are all real numbers x such that x \ge 0.
D) f1(x) =x+5f ^ { - 1 } ( x ) = \sqrt { x } + 5
The domain of f and the range of f-1 are all real numbers x such that x \ge 0.The domain of f-1 and the range of f are all real numbers x such that x \ge 5.
E) f1(x) =x5f ^ { - 1 } ( x ) = \sqrt { x } - 5
The domain of f and the range of f-1 are all real numbers x such that x \ge -5.The domain of f-1 and the range of f are all real numbers x such that x \ge 0.

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