设f(x)=x-1⼀x+1,则f(x)+f(1⼀x)等于

x-1/x+1指(x-1)除以(x+1)
2025-04-24 07:12:46
推荐回答(2个)
回答1:

f(x)=(x-1)/(x+1),
把x=1/x代入得
f(1/x)=(1/x-1)/(1/x+1)=(1-x)/(1+x)
两式相加得
f(x)+f(1/x)=0

回答2:

f(1/x)=(1/x-1)/(1/x+1)=(1-x)/(1+x)
f(x)+f(1/x)=(x-1)/(x+1)+(1-x)/(1+x)=0