均值定理,

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均值定理,均值定理,均值定理,y=x+1/(x+2)+3=x+2+1/(x+2)+1根据均值定理.(x>-2,x+2>0)x+2+1/(x+2)≥2√(x+2)*1/(x+2)x+2+1/(x+2)≥

均值定理,
均值定理,

均值定理,
y=x+1/(x+2)+3
=x+2+1/(x+2)+1
根据均值定理.(x>-2,x+2>0)
x+2+1/(x+2)≥2√(x+2)*1/(x+2)
x+2+1/(x+2)≥2
y=x+1/(x+2)+3≥3
所以,函数的值域[3,+无穷)