Question

高一数学函数问题 在线等

设f(x)=(x-1）/（x+1) 则f(x)+f(1/x)为
最好有过程

Answer 1

f(x)=(x-1)/(x+1),则f(x)+f(1/x)
f(x)=(x-1)/(x+1),
f(1/x)=(1/x-1)/(1/x+1)
=(1-x)/x*(1+x)/x
=(1-x)/(1+x)
=-(x-1)/(x+1)

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