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Byju's Answer
Standard XII
Mathematics
Derivative of One Function w.r.t Another
Let f:(-2,2)-...
Question
Let f:(-2,2)-(-2,2) be a continuous function such that f(x)=f(x^2) for every value of x belongs to df(domain) and f(0)=1/2, then the value of 4f(1/4) is equal to
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Similar questions
Q.
Let
f
:
[
−
2
,
2
]
→
R
be a continuous function such that
f
(
x
)
assumes only irrational values. If
f
(
√
2
)
=
√
2
, then
Q.
Let
f
:
[
−
2
,
2
]
→
R
be a continuous function such that
f
(
x
)
assumes only irrational values. If
f
(
√
2
)
=
√
2
, then
Q.
If
f
is a function such that
f
(
0
)
=
2
,
f
(
1
)
=
3
and
f
(
x
+
2
)
=
2
f
(
x
)
−
f
(
x
+
1
)
for every real
x
,
then the value of
f
(
5
)
is
Q.
Let
f
(
x
)
=
{
log
(
1
+
x
)
1
+
x
x
2
−
1
x
}
. Then the value of
f
(
0
)
so that the function
f
is continuous is
Q.
Let
f
:
R
→
R
be a continuous function such that
f
(
x
)
+
f
(
x
+
1
)
=
2
,
for all
x
∈
R
.
If
I
1
=
∫
8
0
f
(
x
)
d
x
and
I
2
=
∫
3
−
1
f
(
x
)
d
x
then the value of
I
1
+
2
I
2
is equal to
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