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Let f(x)=sqrt(|x|-{x}), where {.} denote...

Let `f(x)=sqrt(|x|-{x})`, where `{.}` denotes the fractional part of x an X,Y and its domain and range respectively, then

A

`f:X rarr Y:y=f(x)` is one-one function

B

`X in (-infty,-1/2] cup [0,infty) " and " Y in [1/2,infty)`

C

`X in (-infty,-1/2] cup [0,infty) " and " Y in [0,infty)`

D

None of the above

Text Solution

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The correct Answer is:
C
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