f(x^2)=2f(x),则原不等式等价于〖f(x)〗^2>2f(x),即f(x)<0或者f(x)>2,而f(x)在定义域x>0上单调递减,且f(1)=0,f(1/4)=2,,则不等式的解是 01
解出来是X不等于0,不知道对不对,很怀疑。
[f(x)]^2>f(x^2)log1/2(x)*log1/2(x)>2log1/2(x)(1)x<1log1/2(x)>2x<1/4则x<1(2)x>1log1/2(x)<-2x>4综合得x<1x>4