Byju's Answer
Standard IX
Mathematics
Deductive Reasoning
Let f g b...
Question
Let f & g be function defined by f(A) = cosA & g(A) = tanA . suppose x & y satisfy 2f(x) - g(y) = 1 , then the value if 2f(y) - g(x) is
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Q.
Let f be a function satisfying
2
f
(
x
)
−
3
f
(
1
x
)
=
x
2
for any
x
≠
0
, then
the value of f(2) is
Q.
Let
f
:
[
0
,
∞
)
→
[
2
,
∞
)
be a differentiable increasing and onto function satisfying
f
2
(
x
)
−
2
f
(
x
)
−
√
x
=
f
2
(
y
)
−
2
f
(
y
)
−
√
y
If
g
(
x
)
be the inverse of
f
(
x
)
, then
g
′
(
4
)
is
Q.
Let f be a function satisfying
2
f
(
x
)
−
3
f
(
1
x
)
=
x
2
for any
x
≠
0
, then
the value of f(2) is
Q.
Let f be a function defined by
f
(
x
)
=
5
x
2
+
2
,
x
∈
R
. Find a such that
f
(
a
)
=
22
Q.
Let
f
be a non-constant continuous function for all
x
≥
0
. Let
f
satisfy the relation
f
(
x
)
=
f
(
a
−
x
)
=
1
for some
a
ϵ
R
+
. Then
I
=
∫
a
0
d
x
1
+
f
(
x
)
is equal to
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