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Question

The domain of the function f(x) given by f(x)=1x(x]
where [.] is greatest integer function, is

A
Z
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B
R
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C
RZ+
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D
RZ
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Solution

The correct option is D RZ
f(x)=1x(x]If xZ, (x]=xx(x]=0f(x) is not defined if xZ.If xRZ, 0<x(x]<1f(x) exists for all xRZ.So, the domain of f(x) is RZ.


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