f(x)=(cx+d)/(ax+b)
=c/a(ax+b-b+ad/c)/(ax+b)
=c/a+(ad-bc)/c(ax+b)
=c/a+(ad/c-b)/(ax+b)
=c/a+(d/c-b/a)/(x+b/a)
(1) d/c-b/a>0 f(x)在(-无穷,-b/a)(-b/a,+无穷)上是减函数
(2) d/c-b/a
f(x)=(cx+d)/(ax+b)
=c/a(ax+b-b+ad/c)/(ax+b)
=c/a+(ad-bc)/c(ax+b)
=c/a+(ad/c-b)/(ax+b)
=c/a+(d/c-b/a)/(x+b/a)
(1) d/c-b/a>0 f(x)在(-无穷,-b/a)(-b/a,+无穷)上是减函数
(2) d/c-b/a