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

数理答疑团为您解答,希望对你有所帮助.
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,+∞).