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.
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f(x) = |x + 5|
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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.
Answer: A
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