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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Definitions:

Prenatal Development

The process of growth and development within the womb from conception to birth, influencing physical, cognitive, and emotional health.

Insecure Attachments

A disruption in the healthy emotional bond between a child and their caregiver, leading to difficulties in trust and relationships.

Temperamental Profile

A description of an individual’s emotional and behavioral tendencies that are believed to be innate rather than learned.

Prenatal Development

The progression of fetal growth and maturation inside the uterus from the moment of conception until delivery.