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Byju's Answer
Standard IX
Mathematics
Representation of Logarithmic Function
The function ...
Question
The function
f
(
x
)
=
l
o
g
a
x
(
(
a
>
0
a
n
d
a
≠
1
)
)
A
Odd
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B
Even
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C
Neither
even nor odd
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D
Both even and odd
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Solution
The correct option is
C
Neither
even nor odd
∵
domain is
(
0
,
∞
)
and is not symmetric about the origin
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0
Similar questions
Q.
The function
f
(
x
)
=
s
i
n
(
l
o
g
(
x
+
√
x
2
+
1
)
)
is
Q.
Let f(x) = |x - 2| + |x - 3| + |x - 4| and g(x) = f(x + 1). Then?
Q.
The function
f
(
x
)
=
s
i
n
(
l
o
g
(
x
+
√
x
2
+
1
)
)
is
Q.
Statement 1:
f
(
x
)
=
log
e
x
cannot be expressed as the sum of odd and even functions
Statement 2:
f
(
x
)
=
log
e
x
is neither odd nor even function
Q.
lf
f
(
x
)
and
g
(
x
)
are two functions such that
f
(
x
)
+
g
(
x
)
=
e
x
and
f
(
x
)
−
g
(
x
)
=
e
−
x
then
I:
f
(
x
)
is an even function
II:
g
(
x
)
is an odd function
III: Both
f
(
x
)
and
g
(
x
)
are neither even nor odd.
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