=2/(x+1+1/x);
当x>0
x+1/x≥2√x*1/x=2;
f(x)=2/(x+1+1/x)≤2/2+1=2/3;
当x<0;
x+1/x=-[(-x)+1/(-x)]≤-2√-x*1/-x=-2;
(x+1+1/x)≤-1;
f(x))=2/(x+1+1/x)≥-2;
x=0
f(x)=0
所以f(x)的值域是[-2,2/3]
=2/(x+1+1/x);
当x>0
x+1/x≥2√x*1/x=2;
f(x)=2/(x+1+1/x)≤2/2+1=2/3;
当x<0;
x+1/x=-[(-x)+1/(-x)]≤-2√-x*1/-x=-2;
(x+1+1/x)≤-1;
f(x))=2/(x+1+1/x)≥-2;
x=0
f(x)=0
所以f(x)的值域是[-2,2/3]