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Byju's Answer
Standard XI
Mathematics
Fractional Part Function
f: ℝ→ℝ is a f...
Question
f
:
R
→
R
is a function defined by
f
(
x
)
=
3
{
x
}
−
2
|
x
|
.
Then the value of
f
(
−
0.7
)
−
f
(
−
2
)
is
(Here,
{
.
}
denotes the fractional part function)
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Solution
f
(
x
)
=
3
{
x
}
−
2
|
x
|
⇒
f
(
−
0.7
)
=
3
(
0.3
)
−
2
(
0.7
)
=
−
0.5
⇒
f
(
−
2
)
=
3
(
0
)
−
2
(
2
)
=
−
4
⇒
f
(
−
0.7
)
−
f
(
−
2
)
=
−
0.5
+
4
=
3.5
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Similar questions
Q.
f
:
R
→
R
is a function defined by
f
(
x
)
=
3
{
x
}
−
2
|
x
|
.
Then the value of
f
(
−
0.7
)
−
f
(
−
2
)
is
(Here,
{
.
}
denotes the fractional part function)
Q.
If Given
f
(
x
)
=
{
x
}
+
{
x
+
1
}
+
{
x
+
2
}
.
.
.
.
.
{
x
+
99
}
, then the value of
[
f
(
√
2
)
]
is, where
{
.
}
denotes fractional part function &
[
.
]
denotes the greatest integer fuction
Q.
Let
f
:
R
→
R
be defined as
f
(
x
)
=
(
|
x
−
1
|
+
|
4
x
−
11
|
)
[
x
2
−
2
x
−
2
]
,
where
[
.
]
denotes the greatest integer function. Then the number of points of discontinuity of
f
(
x
)
in
(
1
2
,
5
2
)
is
Q.
Let
f
:
(
4
,
6
)
→
(
6
,
8
)
be a function defined by
f
(
x
)
=
x
+
[
x
2
]
(where [.] denotes the greatest integer function),
then
f
−
1
(
x
)
is equal to
Q.
f
:
(
4
,
6
)
→
(
6
,
8
)
be a function defined by
f
(
x
)
=
x
+
[
x
2
]
where
[
.
]
denotes the greatest integer function then
f
−
1
(
x
)
in equal to.
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