实数R范围内.A={x丨y=根号x2-2x-3},B={y丨y=根号-x2+2x}.求A交B,A并B,A交CRB,CRA并B 正确秒批

问题描述:

实数R范围内.A={x丨y=根号x2-2x-3},B={y丨y=根号-x2+2x}.求A交B,A并B,A交CRB,CRA并B 正确秒批

A={x丨y=根号x^2-2x-3},B={y丨y=根号-x2+2x}.
即 A={x丨y=根号x^2-2x+1-4}={x丨y=根号(x-1)^2-2^2}={x丨y=根号[(x-1)+2]*[(x-1)-2}
={x丨y=根号(x+1)*(x-3)}
B={y丨y=根号-x^2+2x}=B={y丨y=根号-x^2+2x-1+1}={y丨y=根号1-(x^2-2x+1)}={y丨y=根号1-(x-1)^2}
={y丨y=根号[1+(x-1)]*[1-(x-1)]}={y丨y=根号x*(2-x)}
剩下的你自己解决吧