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Standard XII
Maths
Question
If
f
(
x
)
=
3
√
(
1
−
x
2
)
+
3
√
(
1
+
x
2
)
,
then
f
(
x
)
is
an even function
an odd function
constant function
None of these
A
an even function
B
an odd function
C
None of these
D
constant function
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Solution
Verified by Toppr
f
(
x
)
=
3
√
(
1
−
x
2
)
+
3
√
(
1
+
x
2
)
f
(
−
x
)
=
3
√
(
1
−
(
−
x
)
2
)
+
3
√
(
1
+
(
−
x
)
2
)
f
(
−
x
)
=
3
√
(
1
−
x
2
)
+
3
√
(
1
+
x
2
)
=
f
(
x
)
∵
f
(
x
)
=
f
(
−
x
)
∴
f
(
x
)
is an even function
Answer: option (A)
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3
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