y=x方/(x+2) [x>-2] 求值域

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y=x方/(x+2)[x>-2]求值域y=x方/(x+2)[x>-2]求值域y=x方/(x+2)[x>-2]求值域y=x^2/(x+2)=(x^2-4+4)/(x+2)=x-2+[4/(x+2)]=x

y=x方/(x+2) [x>-2] 求值域
y=x方/(x+2) [x>-2] 求值域

y=x方/(x+2) [x>-2] 求值域
y=x^2/(x+2)
=(x^2-4+4)/(x+2)
=x-2+[4/(x+2)]
=x+2+[4/(x+2)]-4
≥2√(x+2)*[4/(x+2)-4
=0
当且仅当x=0时取等号
y=x方/(x+2) [x>-2] 求值域[0,+无穷)