f(x)=x²-2ax+a²-1 =x²-2ax+(a-1)(a+1) =[x-(a-1)][x-(a+1)]由f(x)<0即[x-(a-1)][x-(a+1)]<0解得a-1那么不等式f(f(x))<0==> a-1又f(x)=(x-a)²-1当x=a时,f(x)取得最小值-1即函数的值域为[-1,+∞)若原不等式的解集为空集则(*)的解集为空集,那么(a-1,a+1)与值域的交集为空集 a+1<-1所以a<-2
no