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Let f(x) = (1)/(sqrt(|x-1|-[x])) where[....

Let `f(x) = (1)/(sqrt(|x-1|-[x]))` where[.] denotes the greatest integer funciton them the domain of `f(x)` is

A

` (-1, 1 )`

B

`(-oo, 1)`

C

`(-oo, - 1 )`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
For f(x) to be real,we must have
`|x-1| -[x] lt 0 rArr |x-1| [x]`

It is evident from the graphs of y = |x-1| and y =[x] that
`|x-1| gt [x]` for all `x in (-oo,1)`
Hence, options (b) is correct.
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