(Ⅰ)当x<0时,则有-x>0,故f(-x)=log2(-x)=-f(x),∴f(x)=-log2(-x).------(5分)
(Ⅱ)由于 f(x)=
,
log2x (x>0) ?log2(?x) (x<0)
∴f(x+1)=
=
log2(x+1) (x+1>0) ?log2[?(x+1)] (x+1<0)
,
log2(x+1) (x>?1) ?log2[?(x+1)] (x<?1)
因为f(x+1)<-1,∴
x>?1 log2