f(x)=x^2是奇函数还是偶函数
\u82e5f(x)\u548cg(x)\u5206\u522b\u662f\u5947\u51fd\u6570\u4e0e\u5076\u51fd\u6570,\u4e14f(x)+g(x)=1/(x-1),\u5219f(x),g(x)\u5206\u522b\u4e3a\u591a\u5c11\u56e0\u4e3af(x)\u548cg(x)\u5206\u522b\u662f\u5947\u51fd\u6570\u4e0e\u5076\u51fd\u6570
\u6240\u4ee5
f(-x) = -f(x)
g(-x) = g(x)
\u56e0\u4e3af(x) + g(x) = 1/(x - 1\uff09
\u6240\u4ee5f(-x) + g(-x) = 1/(-x - 1)
-f(x) + g(x) = -1/(x + 1)
\u548c\u539f\u5f0f\u76f8\u52a0\u5f97\uff1a
2g(x) = 2/(x² - 1)
g(x) = 1/(x² - 1)
\u6240\u4ee5 f(x) = x/(x² - 1)
F(-x)=f(-x)f(x)=F(X)
F(x)=f(x)f(-x)\u662f\u5076\u51fd\u6570
这是一个二次函数 f(-x)=(-x)^2=x^2=f(x)
所以它是偶函数
f(-x)=(-x)^2=x^2=f(x)
是偶函数
f(-x)=(-x)^2=x^2,所以偶函数
偶函数
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