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:

Water Loss

The process by which water exits the body, through means such as sweating, breathing, and urination.

Body

The physical structure of a living organism, comprising various systems and organs that work together to sustain life.

ADH Levels

Concentrations of Antidiuretic Hormone in the bloodstream, which regulates water balance in the body by affecting the kidneys.

Aldosterone Levels

Aldosterone levels indicate the concentration of aldosterone, a hormone involved in regulating sodium and potassium levels, and thus, blood pressure and fluid balance.