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Let
f
and
g
be periodic functions with the periods
T
1
and
T
2
respectively. Then
f
+
g
is
0
votes
asked
Dec 10, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
edited
Dec 26, 2021
by
kritika
Let
f
and
g
be periodic functions with the periods
T
1
and
T
2
respectively. Then
f
+
g
is
(A) periodic with period
T
1
+
T
2
(B) non-periodic
(C) periodic with the period
T
1
(D) periodic when
T
1
=
T
2
Your answer
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3
Answers
0
votes
answered
Dec 26, 2021
by
kritika
(
90.1k
points)
Ans : (D) Hint : f + g is a periodic function.
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Related questions
0
votes
3
answers
Let
f
(
x
)
=
√
x
2
−
3
x
+
2
and
g
(
x
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=
√
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S
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f
∘
g
and
T
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g
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Let
x
1
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x
2
be the roots of
x
2
−
3
x
+
a
=
0
and
x
3
,
x
4
be the roots of
x
2
−
12
x
+
b
=
0
. If
x
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2
<
x
3
<
x
4
and
x
1
,
x
2
,
x
3
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in
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by
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90.1k
points)
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Let
f
(
x
)
be a continuous periodic function with period
T
. Let
I
=
∫
a
+
T
a
f
(
x
)
d
x
. Then
asked
Dec 10, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
0
votes
3
answers
Let
g
(
x
)
=
∫
2
x
x
f
(
t
)
t
d
t
where
x
>
0
and
f
be continuous function and
f
(
2
x
)
=
f
(
x
)
, then
asked
Dec 10, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
0
votes
3
answers
Let
f
(
x
)
=
1
−
√
(
x
2
)
where the square root is to be taken positive, then
asked
Dec 10, 2021
in
Sets, relations and functions
by
kritika
(
90.1k
points)
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