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15问答网 > 设f(x)是奇函数，g(x)是偶函数，则f【g(x)】为什么是偶函数啊

设f(x)是奇函数，g(x)是偶函数，则f【g(x)】为什么是偶函数啊

2025-03-31 12:05:33

推荐回答（2个）

回答1：

g(x)是偶函数，g(-x)=g(x)
令h(x)=f [g(x)]
则h(-x)=f [g(-x)]=f [g(x)]=h(x)
所以h(x)是偶函数，
即f [g(x)]是偶函数

回答2：

因为f(g(-x))=f(g(x))

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