Question

已知函数f(x)=x-1/x+1,则f(x)+f(1/x)=

求过程。。。~

Answer 1

f(x)=(x-1)/(x+1)
所以原式厅如=(x-1)/早伏乎(x+1)+(1/x-1)/陆悉(1/x+1)
=(x-1)/(x+1)+(1-x)/(1+x)
=(x-1)/(x+1)-(x-1)/(x+1)
=0

Answer 2

已知函数f(x)=x-1/x+1,则
f(x)+f(1/x)
=(x-1)/(x+1)+(1/x-1)/(1/x+1)
=(x-1)/(x+1)+(1-x)/(x+1)
=0;

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Answer 3

把x换成1/x，最后得出答案是2

Answer 4

f(x)=x-1/行芦启燃x+1
f(1/x)=1/x-x+1
f(x)+f(1/档旁带x)=x-1/x+1+1/x-x+1=2