已知函数f(x)=1+2/(t-1) (t>0且t不等于1)求其值域.

问题描述:

已知函数f(x)=1+2/(t-1) (t>0且t不等于1)求其值域.

y=1+2/(t-1)
yt-y=t-1+2
(y-1)t=1+y
t=(y+1)/(y-1) y≠1
∵t>0
∴(y+1)/(y-1)>0
∴y>1或y1或y