解由y=(2-3x)/(x-1)
=(-1-3(x-1))/(x-1)
=-3-1/(x-1)
由1/(x-1)≠0
即-1/(x-1)≠0
即-3-1/(x-1)≠-3
即y≠-3
故函数的值域为{y/y≠-3}.