作业帮log1/2(x-2/x)≥0,
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log1/2(x-2/x)≥0,
log1/2(x-2/x)≥0,
log1/2(x-2/x)≥0,
log1/2(x-2/x)≥0,
则0＜x-2/x≤1,
得(x^2-2)x=(x-√2)(x+√2)x＞0,①
和（x^2-x-2）x=(x-2)(x+1)x≤0,②
由①得-√2＜x＜0或x＞√2,
由②得x≤-1或0＜x≤2,
取交集得x∈(-√2,-1]∪(√2,2].
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