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Standard XII
Mathematics
Definition of Functions
Question
If
f
(
x
)
=
2
x
then
f
(
x
+
3
)
f
(
x
−
1
)
=
f
(
x
)
1
f
(
x
)
f
(
4
)
f
(
2
)
A
f
(
x
)
B
1
f
(
x
)
C
f
(
2
)
D
f
(
4
)
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Solution
Verified by Toppr
Let
f
(
x
)
=
2
x
f
(
x
+
3
)
=
2
x
+
3
=
2
x
×
2
3
f
(
x
−
1
)
=
2
x
−
1
=
2
x
2
[
∵
a
m
+
n
=
a
m
×
a
n
]
⇒
f
(
x
+
3
)
f
(
x
−
1
)
=
2
x
×
2
3
2
x
2
=
16
=
2
4
=
f
(
4
)
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Similar Questions
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If
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Q2
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)
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If
f
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)
,
g
(
x
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