Question

求函数Y=X平方－X+1／X平方－X的值域

Answer 1

y=(x²-x)/(x²-x)+1/(x²-x)=1+1/(x²-x)

x²-x=(x-1/2)²-1/4>=-1/4

x²-x>0

1/(x²-x)>0

1+1/(x²-x)>1

-1/4