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Byju's Answer
Standard X
Mathematics
Composition of Function
If f x =2 x 2...
Question
If
f
(
x
)
=
2
x
2
and
g
(
x
)
=
1
3
x
,
then
f
o
g
is
___
A
3
2
x
2
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B
2
3
x
2
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C
2
9
x
2
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D
1
6
x
2
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Solution
The correct option is
C
2
9
x
2
Given:
f
(
x
)
=
2
x
2
and
g
(
x
)
=
1
3
x
f
o
g
=
f
(
g
(
x
)
)
=
f
(
1
3
x
)
=
2
(
1
(
3
x
)
2
)
=
2
9
x
2
∴
f
o
g
=
2
9
x
2
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0
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