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Byju's Answer
Standard XII
Mathematics
Identity Function
If f is even ...
Question
If f is even function and g is an odd function, then
f
o
g
is ............function.
A
Even
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B
Odd
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C
Neither even nor odd
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D
Either even
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Solution
The correct option is
A
Even
f
o
g
function is an even function
Let
f
(
x
)
is a even function and
g
(
−
x
)
is odd function.
So,
f
(
g
(
−
x
)
)
=
f
(
−
g
(
x
)
)
=
e
v
e
n
Suggest Corrections
0
Similar questions
Q.
If
f
is an even function and
g
is odd function, then the function
f
∘
g
is
Q.
If
f
(
x
)
is an odd function then-
(i)
f
(
−
x
)
+
f
(
x
)
2
is an even function
(ii)
[
∣
f
(
x
)
∣
+
1
]
is even where [.] denotes greatest integer function.
(iii)
f
(
x
)
−
f
(
−
x
)
2
is neither even nor odd
(iv)
f
(
x
)
+
f
(
−
x
)
is neither even nor odd
Which of these statements are correct
Q.
f
(
x
)
=
|
x
|
3
is
Q.
Assertion :
f
is even,
g
is odd then
f
g
(
g
≠
0
)
is an odd function. Reason: If
f
(
−
x
)
=
−
f
(
x
)
for every
x
of its domain then
f
(
x
)
is called odd function and if
f
(
−
x
)
=
f
(
x
)
for every
x
of its domain, then
f
(
x
)
is called even function.
Q.
If
f
is odd function ,
g
be an even function and
g
(
x
)
=
f
(
x
+
5
)
then
f
(
x
−
5
)
equals
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