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Byju's Answer
Standard XIII
Mathematics
Fractional Part Function
The domain of...
Question
The domain of the function
f
(
x
)
=
4
{
x
−
4
}
is
(where
{
.
}
denotes the fractional part of
x
)
A
Z
−
{
4
}
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B
R
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C
R
−
{
4
}
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D
R
−
Z
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Solution
The correct option is
D
R
−
Z
f
(
x
)
=
4
{
x
−
4
}
For the function to be defined, we get
{
x
−
4
}
≠
0
⇒
{
x
}
≠
0
(
∵
{
x
−
Z
}
=
{
x
}
)
⇒
x
∉
Z
∴
D
f
=
R
−
Z
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