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Standard XII
Maths
Question
If
f
(
x
)
=
log
(
x
+
√
1
+
x
2
)
then
f
(
x
)
is
Periodic
Odd function
None o fthese
Even function
A
Even function
B
Odd function
C
None o fthese
D
Periodic
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Solution
Verified by Toppr
f
(
x
)
=
l
o
g
(
x
+
√
1
+
x
2
)
f
(
−
x
)
=
l
o
g
(
√
1
+
x
2
−
x
)
l
o
g
(
1
√
1
+
x
2
+
x
)
=
−
l
o
g
(
x
+
√
1
+
x
2
)
f
(
−
x
)
=
−
f
(
x
)
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Similar Questions
Q1
If
f
(
x
)
=
log
(
x
+
√
1
+
x
2
)
then
f
(
x
)
is
View Solution
Q2
The function
f
(
x
)
=
log
(
x
+
√
x
2
+
1
)
is
View Solution
Q3
The function
f
(
x
)
=
s
e
c
[
l
o
g
(
x
+
√
1
+
x
2
)
]
is
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Q4
The function
f
(
x
)
=
sin
[
log
(
x
+
√
x
2
+
1
)
]
is
View Solution
Q5
The function
f
(
x
)
=
log
(
x
+
√
1
+
x
2
)
is an odd function.
View Solution