Function Properties on Natural Numbers (Jee Mains) | ExamDuo
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Functions
Medium
Function Properties on Natural Numbers
Let
g
:
N
→
N
be defined as
g
(
3
n
+
1
)
=
3
n
+
2
g
(
3
n
+
2
)
=
3
n
+
3
g
(
3
n
+
3
)
=
3
n
+
1
, for all
n
≥
0
Then which of the following statements is true?
Ask about this question
SELECT ONE OPTION
A
There exists an onto function
f
:
N
→
N
such that fog
=
f
B
There exists a one-one function
f
:
N
→
N
such that fog
=
f
C
g
o
g
o
g
=
g
D
There exists a function
f
:
N
→
N
such that gof
=
f
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