函数y=1/(x^2+2x–5)的值域
问题描述:
函数y=1/(x^2+2x–5)的值域
答
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y=1/(x^2+2x–5) = 1/[(x+1)²-6]
[(x+1)²-6]≥-6,且[(x+1)²-6]≠0;
因此:0>[(x+1)²-6]≥-6或[(x+1)²-6]>0
所以:y≤ -1/6或y>0
函数y=1/(x^2+2x–5)的值域(-∞,-1/6]∪(0,+∞).