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32. On the set of integers \( Z \), define \( f: Z \rightarrow Z \) as \( f(x)=\left\{\begin{array}{ll}\frac{x}{2}, & x \text { is even } \\ 0, & x \text { is odd }\end{array}\right. \) Then, \( f \) is |
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Answer» f(x) = \( \begin{cases}\frac x2 & {,x = 2n; n\in N }\\0 & {x\, is \,odd}\end{cases}\) = \( \begin{cases}n, & {n\in N, x \, is \, even \, s.t. \, x = 2n }\\0, & {x\, is \,odd}\end{cases}\) \(\therefore\) f (x) is a whole number |
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