函数f(x)=(x-1)/(x+1)的反函数是().

函数f(x)=(x-1)/(x+1)的反函数是().
A、f-1(x)=(x-1)/(x+1)
B、f-1(x)=(1-x)/(1+x)
C、f-1(x)=(x+1)/(x-1)
D、f-1(x)=(1+x)/(1-x)
【正确答案】:D
【题目解析】:设y=f(x)=(x-1)/(x+1),则x=(1+y)/(1-y),所以f-1(x)=(1+x)/(1-x).