根據(jù)題意,
∵f(x)為奇函數(shù),g(x)為偶函數(shù),
且f(x)+g(x)=x2+x-2①,
∴f(-x)=-f(x),g(-x)=g(x),
∴f(-x)+g(-x)=(-x)2+(-x)-2,
即-f(x)+g(x)=x2-x-2②;
由①、②解得f(x)=x,
g(x)=x2-2.
已知函數(shù)f(x),g(x)都定義在實(shí)數(shù)集R上,且滿足f(x)為奇函數(shù),g(x)為偶函數(shù),f(x)+g(x)=x2+x-2,試求函數(shù)f(x),g(x)的解析式.
已知函數(shù)f(x),g(x)都定義在實(shí)數(shù)集R上,且滿足f(x)為奇函數(shù),g(x)為偶函數(shù),f(x)+g(x)=x2+x-2,試求函數(shù)f(x),g(x)的解析式.
數(shù)學(xué)人氣:474 ℃時(shí)間:2019-10-23 06:18:39
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