函數(shù)y=f (x) (x≠0)是奇函數(shù),且當(dāng)x∈(0,+ ∝)時(shí)是增函數(shù),若f (1)=0,求不等式f [x (x-1/2)]
函數(shù)y=f (x) (x≠0)是奇函數(shù),且當(dāng)x∈(0,+ ∝)時(shí)是增函數(shù),若f (1)=0,求不等式f [x (x-1/2)]
優(yōu)質(zhì)解答
y=f (x) (x≠0)是奇函數(shù),且當(dāng)x∈(0,+ ∝)時(shí)是增函數(shù),
則x∈(-∞,0)U(0,+ ∝)時(shí)是增函數(shù),
且f(-1)=-f(1)=0,f(1)=0,
所以f(x)<0的解為 x<-1或0<x<1;
f [x (x-1/2)]為什么?f(x)<0的解為 x<-1或0<x<1?0