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Byju's Answer
Standard XII
Mathematics
Commutative Law of Binary Operation
Consider f:...
Question
Consider
f
:
N
→
N
,
g
:
N
→
N
defined as
f
(
x
)
=
2
x
,
g
(
x
)
=
3
x
+
4
find
f
o
g
(
x
)
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Solution
f
(
x
)
=
2
x
g
(
x
)
=
3
x
+
4
f
o
g
(
x
)
f
(
g
(
x
)
)
f
(
3
x
+
4
)
2
(
3
x
+
4
)
6
x
+
8
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0
Similar questions
Q.
Consider f : N → N, g : N → N and h : N → R defined as f(x) = 2x, g(y) = 3y + 4 and h(z) = sin z for all x, y, z ∈ N. Show that ho (gof) = (hog) of.
Q.
If
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x
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and
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Consider the functions
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and
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where
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If functions
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Given examples of two functions f : N → N and g : N → N such that g o f is onto but f is not onto. (Hint: Consider f ( x ) = x + 1 and
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