以下是详细的运算步骤.已知f(x)=(x+1)/(x-1)所以y=f(1/x)=(1/x+1)/(1/x-1)=[(1+x)/x]/[(1-x)/x]=(1+x)/(1-x)即y=(1+x)/(1-x)y(1-x)=1+xy-yx=1+xyx+x=y-1(y+1)x=y-1x=(y-1)/(y+1)所以y=f(1/x)的反函数为y=(x-1)/(x+1)...