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Byju's Answer
Standard X
Geography
Railways in India and the Challenges Faced by It
29. f:c->c f(...
Question
29. f:c->c f(x) =|Z| find the function
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Similar questions
Q.
A function f:
R
→
R
satisfies
sin
x
cos
y
[
f
(
2
x
+
2
y
)
−
f
(
2
x
−
2
y
)
]
=
cos
x
sin
y
[
f
(
2
x
+
2
y
)
+
f
(
2
x
−
2
y
)
]
.
If
f
′
(
0
)
=
1
2
, then
Q.
If
f
,
g
:
R
→
R
are two functions such that
f
(
x
)
+
f
′′
(
x
)
=
−
x
g
(
x
)
f
′
(
x
)
and
g
(
x
)
>
0
∀
∈
R
, then the functions
f
2
(
x
)
+
(
f
′
(
x
)
)
2
has
Q.
If
f
:
R
→
R
and
g
:
R
→
R
are two functions such that
f
(
x
)
+
f
'
'
(
x
)
=
−
x
g
(
x
)
f
'
(
x
)
and
g
(
x
)
>
0
∀
x
∈
R
, then the function
f
2
(
x
)
+
(
f
'
(
x
)
)
2
has
Q.
The function
f
(
x
)
is defined on the interval
[
0
,
1
]
. Find the domain of the function:
f
(
2
x
+
3
)
Q.
x
l
i
m
−
−
→
0
f
(
4
x
)
−
3
f
(
3
x
)
+
f
(
2
x
)
+
f
(
x
)
x
3
=
12
f
′
(
x
)
=
0
and
f
′′
(
x
)
=
0
. Then find
f
′′′
(
0
)
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