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Byju's Answer
Standard XII
Chemistry
Heat Capacity
The range of ...
Question
The range of the function
f
(
x
)
=
2
x
−
[
2
x
−
5
]
is
(where
[
.
]
denotes the greatest integer function)
A
(
5
,
7
)
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B
(
5
,
6
)
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C
[
5
,
7
)
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D
[
5
,
6
)
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Solution
The correct option is
D
[
5
,
6
)
f
(
x
)
=
2
x
−
[
2
x
−
5
]
⇒
f
(
x
)
=
2
x
−
[
2
x
]
+
5
⇒
f
(
x
)
=
{
2
x
}
+
5
⇒
f
(
x
)
∈
[
5
,
6
)
[
∵
{
y
}
∈
[
0
,
1
)
]
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