y=(根号下x-1)/x的值域

题目详情

y=(根号下x-1)/x的值域

▼优质解答

答案和解析

y=√(x-1)/x
x-1>=0 x>=1
y=√[(x-1)/x^2]
=√(1/x-1/x^2)
=√[1/4-(1/x-1/2)^2]
(1/x-1/2)^2>=0
1/4>=1/4-(1/x-1/2)^2>=0
1/2>=y>=0

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