Restrict the Domain of the Function F So That the Function

question 58

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|
​

• A)f​^-1(x)= x - 5 ​
• The domain of f and the range of f^-1 are all real numbers x such that x ≥ -5.The domain of f^-1 and the range of f are all real numbers x such that x ≥ 0.
• B)f​^-1(x)= x + 5 ​
• The domain of f and the range of f^-1 are all real numbers x such that x ≥ 0.The domain of f^-1 and the range of f are all real numbers x such that x ≥ -5.
• C)f​^-1(x)= x - 5 ​
• The domain of f and the range of f^-1 are all real numbers x such that x ≥ 0.The domain of f^-1 and the range of f are all real numbers x such that x ≥ 5.
• D)f​^-1(x)= x + 5 ​
• The domain of f and the range of f^-1 are all real numbers x such that x ≥ 5.The domain of f^-1 and the range of f are all real numbers x such that x ≥ 0.
• E)f​^-1(x)= x - 5 ​
• The domain of f and the range of f^-1 are all real numbers x such that x ≥ 5.The domain of f^-1 and the range of f are all real numbers x such that x ≥ 0.

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