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) \(f ^ { - 1 } ( x ) = \sqrt { x } - 5\)
• 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) \(f ^ { - 1 } ( x ) = \sqrt { x } + 5\)
• 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) \(f ^ { - 1 } ( x ) = \sqrt { x } + 5\)
• 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) \(f ^ { - 1 } ( x ) = \sqrt { x } + 5\)
• 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) \(f ^ { - 1 } ( x ) = \sqrt { x } - 5\)
• 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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A step-by-step procedure or formula for solving a problem.

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