定义域5-4x-x^2>0
x^2+4x-5<0
(x+5)(x-1)<0
-5f(t)=log1/3(t)是一个递减函数,则f(x)的单调减区间就是5-4x-x^2的单调递增区间.
5-4x-x^2=-(x+2)^2+9
对称轴是x=-2,在(-无穷,-2]上是递增,[-2,+无穷)上是递减.
考虑定义域,所以,f(x)的单调递减区间是(-5,-2]