已知函数f(x)与g(x)定义在r上,f(x)为奇函数,g(x)为偶函数,且f(x)+g(x)=1/

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f(-x)+g(-x)=1/-x-1
f(x)+g(x)-[f(-x)+g(-x)]=1/(x-1)-1/(-x-1)
2f(x)=2/(x+1)(x-1)
f(x)=1/(x+1)(x-1)
g(x)=1/x-1-f(x)=1/(x-1)-1/(x+1)(x-1)