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Byju's Answer
If [x] denote...
Question
If
[
x
]
denotes greatest integer function of
x
, then the domain
[
x
]
is
R
, while the range is
I
A
False
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B
True
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Solution
The correct option is
B
True
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Similar questions
Q.
If
g
(
x
)
is a continuous function
∀
x
∈
R
and the range of
f
(
x
)
is
(
2
,
√
26
)
and
g
(
x
)
=
[
f
(
x
)
c
]
is continuous
∀
x
∈
R
, then the positive value of
c
is (where
[
.
]
denotes the greatest integer function)
Q.
Let
[
x
]
denote the greatest integer function of
x
. If the domain of the function
1
[
x
]
2
−
7
[
x
]
+
12
is
R
−
[
a
,
b
)
,
then the value of
a
+
b
is
Q.
[
[
x
]
]
=
[
x
]
∀
x
∈
R
,
Where
[
.
]
denotes the greatest integer function.
Q.
Find the domain and range of
f
(
x
)
=
sin
−
1
(
log
[
x
]
)
+
log
(
sin
−
1
[
x
]
)
,
where
[
⋅
]
denotes the greatest integer function
Q.
If the domain of the function
y
=
f
(
x
)
is
[
−
3
,
2
]
,
then the domain of
f
(
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[
x
]
|
)
is
(where [.] denotes the greatest integer function)
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