Restrict the Domain of the Function F So That the Function

question 165

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) = -6x² + 2

• A) \(f ^ { - 1 } ( x ) = \frac { \sqrt { - 6 ( x - 2 ) } } { 6 }\) 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 \(\le\) 2.
• B) \(f ^ { - 1 } ( x ) = \frac { \sqrt { - 2 ( x - 6 ) } } { 2 }\) 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\(\le\) 2.
• C) \(f ^ { - 1 } ( x ) = \frac { \sqrt { - 6 ( x - 2 ) } } { - 6 }\) 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 \(\le\) 2.
• D) \(f ^ { - 1 } ( x ) = \frac { \sqrt { - 6 ( x - 2 ) } } { 6 }\) 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 \(\le\) -2.
• E) \(f ^ { - 1 } ( x ) = \frac { \sqrt { - 6 ( x + 2 ) } } { 6 }\) 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 \(\le\) 2.

Understand the difference between cliques and crowds within adolescent social structures.

Understand the physical and emotional changes that occur during puberty.

Identify the impacts of puberty on adolescent behavior and mental health.

Recognize the role of environmental and genetic factors in the timing of puberty.

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