用分离常数法求值域y=(x方+2x+2)/(x+1)

发布时间:2021-02-26 06:08:46

用分离常数法求值域y=(x方+2x+2)/(x+1)

网友回答

y=(x²+2x+2)/(x+1)
=[(x+1)²+1]/(x+1)
=x+1+[1/(x+1)]
≥2当且仅当x+1=1/(x+1)时即x=0或x=-2时取到等号
======以下答案可供参考======
供参考答案1:
y=[(x+1)^2+1]/(x+1)
y=(x+1)+1/(x+1)≥2
所以值域为[2,正无穷)
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