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51问答网 > 已知函数fx是定义在R上的偶函数,当x∈(-无穷大,0】时,fx=x-x平方,求...

已知函数fx是定义在R上的偶函数,当x∈(-无穷大,0】时,fx=x-x平方,求...

2025-03-15 21:31:45

推荐回答（1个）

回答1：

因为函数fx是定义在R上的偶函数
所以f（x)=f(-x)
x∈(-无穷大,0】时,fx=x-x^2
fx在（0,+无穷大）上时f（x)=f(-x)
-x在∈(-无穷大,0）上,
f(-x)
=（-x）-（-x）^2=-x-x^2
函数fx在（0,+无穷大）上的解析式:
f(x)
=-x-x^2

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