Is the statement true or false? "The domain and the range of the reciprocal function are the set of all real numbers."

Wierzycaz

Wierzycaz

Answered question

2021-01-08

Is the statement true or false? "The domain and the range of the reciprocal function are the set of all real numbers."

Answer & Explanation

Arnold Odonnell

Arnold Odonnell

Skilled2021-01-09Added 109 answers

False. The domain and range of the reciprocal function are all real numbers except the number 0 since f(0)=10 is undefined. If x can’t be 0, y can’t be 0 either.
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Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-14Added 2605 answers

The reciprocal function is f(x)=1x . The domain of f(x) is the set {x|x0} . Therefore, the statement is False

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