函数y=2x+3除以(x-1)(x<1)的值域是

2024-11-19 19:28:03
推荐回答(1个)
回答1:

y=(2x+3)/(x-1)=[2(x-1)+2+3]/(x-1)=2+5/(x-1)
x<1,∴5/(x-1)<0,∴y<2

或∵x<1,x-1≠0,变换得y(x-1)=2x+3,即x=(3+y)/(y-2)<1
即(3+y)/(y-2)-1=5/(y-2)<0,∴y<2