已知集合A={p|x2+2(p-1)x+1=0,x∈R},求集合B={y|y=2x-1,x∈A}.

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已知集合A={p|x2+2(p-1)x+1=0,x∈R},求集合B={y|y=2x-1,x∈A}.
已知集合A={p|x2+2(p-1)x+1=0,x∈R},求集合B={y|y=2x-1,x∈A}.

已知集合A={p|x2+2(p-1)x+1=0,x∈R},求集合B={y|y=2x-1,x∈A}.
回答:(-无穷,-1]U[3,+无穷)
∵X∈R,∴4(p-1)²-4≥0,p∈(-无穷,0]U[2,+无穷)