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Byju's Answer
Standard XII
Mathematics
Definition of Functions
The domain of...
Question
The domain of
f
(
x
)
=
1
[
x
]
−
x
is
A
R
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B
Z
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C
R
−
Z
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D
Q
−
0
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Solution
The correct option is
D
R
−
Z
[
x
]
−
x
≠
0
Which means
x
must not be an integer.
The required domain is
R
−
Z
Hence, option 'C' is correct.
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Q.
The domain of the function f(x) given by
f
(
x
)
=
1
√
x
−
(
x
]
where [.] is greatest integer function, is