y=2x-1/x^2+2x+2和y=x-2/x^2-3x+2的值域
问题描述:
y=2x-1/x^2+2x+2和y=x-2/x^2-3x+2的值域
答
y=(2x-1)/(x^2+2x+2)分母x^2+2x+2=(x+1)^2+1>0y(x^2+2x+2)= 2x-1yx^2+2yx+2y= 2x-1yx^2+2(y-1)x+(2y+1)= 0判别式△=4(y-1)^2-4y(2y+1)=4y^2-8y+4-8y^2-4y=-4y^2-12y+4≥0y^2+3y-1≤0(-3-√13)/2≤y≤(-3+√1...