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Byju's Answer
Standard X
Mathematics
Composition of Function
Find f o g wh...
Question
Find
f
o
g
when
f
(
x
)
=
2
x
+
1
and
g
(
x
)
=
x
2
−
2
.
A
2
x
2
+
3
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B
2
x
2
−
3
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C
−
2
x
2
−
3
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D
−
2
x
2
+
3
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Solution
The correct option is
B
2
x
2
−
3
Given:
f
(
x
)
=
2
x
+
1
and
g
(
x
)
=
x
2
−
2
f
o
g
(
x
)
=
f
(
g
(
x
)
)
=
f
(
x
2
−
2
)
=
2
(
x
2
−
2
)
+
1
=
2
(
x
2
)
−
3
∴
f
o
g
(
x
)
=
2
x
2
−
3
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