y=(x^2+8)/(x-1)=(x-1)^2+2x+7/x-1=(x-1)^2+2(x-1)+9/x-1=x-1+ 2+ 9/x-1当x>1时用基本不等式得y≥2根号下9 +2=8当x<1时 -(x-1)+9/-(x-1)-2≥4∴x-1+ 2+ 9/x-1小于等于-4∴y值域为[8,+无穷)∪(-无穷,-4]...