对数有意义,x²+4x-12>0(x-2)(x+6)>0x<-6或x>2函数定义域为(-∞,-6)U(2,+∞)底数0<½<1,要函数单调递增,x²+4x-12单调递减令f(x)=x²+4x-12f(x)=x²+4x-12=x²+4x+4-16=(x+2)²-16对称轴x=-2,f(x)在(-∞,-6)上单调递减,y单调递增函数y的单调递增区间为(-∞,-6)