Question
Consider the following two rules, $F$ and $G,$ where $F$ is the rule that assigns to each person his or her birth-mother and $G$ is the rule that assigns to each person his or her aunt. Explain why $F$ is a function but $G$ is not.
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In mathematics, a function is a rule that assigns to each input exactly one output. The set of all possible inputs is called the domain and the set of all possible outputs is called the range. Show more…
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$$ \begin{array}{l}{\text { If the rule of the function } f \text { is "add one" and the rule of the }} \\ {\text { function } g \text { is "multiply by } 2, " \text { " then the rule of } f \circ g \text { is }} \\ {\text { "}} \\ {\text { and the rule of } g \circ f \text { is }} \\ {\text { ". }}\end{array} $$
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