设集合A={x|y=log2(x-1)},B={y|y=-x^2+2x-2,x属于R}求A∩B
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![设集合A={x|y=log2(x-1)},B={y|y=-x^2+2x-2,x属于R}求A∩B](/uploads/image/z/2638477-37-7.jpg?t=%E8%AE%BE%E9%9B%86%E5%90%88A%3D%EF%BD%9Bx%7Cy%3Dlog2%28x-1%29%7D%2CB%3D%7By%7Cy%3D-x%5E2%2B2x-2%2Cx%E5%B1%9E%E4%BA%8ER%7D%E6%B1%82A%E2%88%A9B)
设集合A={x|y=log2(x-1)},B={y|y=-x^2+2x-2,x属于R}求A∩B
设集合A={x|y=log2(x-1)},B={y|y=-x^2+2x-2,x属于R}求A∩B
设集合A={x|y=log2(x-1)},B={y|y=-x^2+2x-2,x属于R}求A∩B
A={x|y=log2(x-1)},x-1>0,x>1
B={y|y=-x^2+2x-2,x属于R}
y=-x^2+2x-2=-(x+1)^2-1
y≤-1
所以A∩B为空集