若集合A={y|y=x2-2x+3},B={y|y=2x2-3x+2},則A∩B=_.
若集合A={y|y=x2-2x+3},B={y|y=2x2-3x+2},則A∩B=______.
優(yōu)質(zhì)解答
∵y=x
2-2x+3=(x-1)
2+2≥2,
∴A={y|y=x
2-2x+3}=[2,+∞),
y=2x
2-3x+2=
2(x?)2+≥,
∴B={y|y=2x
2-3x+2}=[
,+∞).
則A∩B=[2,+∞).
故答案為:[2,+∞).
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