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Byju's Answer
Standard XII
Mathematics
Inequalities of Integrals
94. f(x)f(1÷ ...
Question
94. f(x)f(1÷ x)=f(x)+f(1÷ x); and f(3)=-26,find. |f(2)| ?
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Q.
If
f
(
x
)
+
f
(
1
x
)
=
f
(
x
)
f
(
1
x
)
and
f
(
3
)
=
28
find
f
(
1
3
)
Q.
If
f
(
x
)
is a polynomial in
x
(
>
0
)
satisfying the equation
f
(
x
)
+
f
(
1
x
)
=
f
(
x
)
f
(
1
x
)
and
f
(
2
)
=
9
,
then
f
(
3
)
=
Q.
lf
f
(
x
)
is a polynomial satisfying
f
(
x
)
f
(
1
x
)
=
f
(
x
)
+
f
(
1
x
)
, and
f
(
3
)
=
82
, then
∫
f
(
x
)
x
2
+
1
d
x
=
Q.
If
f
(
x
)
is a polynomial function such that
f
(
x
)
f
(
1
x
)
=
f
(
x
)
+
f
(
1
x
)
and
f
(
3
)
=
−
80
then
f
(
x
)
is equal to:
Q.
If
f
(
x
)
f
(
1
x
)
=
f
(
x
)
+
f
(
1
x
)
∀
x
ϵ
R
−
0
where f(x) be a polynomial function and f(5) =126 then f(3)=
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