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Let g:NtoN be defined as g(3n+1)=3n+...

Let `g:NtoN` be defined as
`g(3n+1)=3n+2`,
`g(3n+2)=3n+3`,
`g(3n+3)=3n+1` for all `nge0`. The which of the following statements is true ?

A

There exists a function `f:NtoN` such that `gof=f`

B

There exists a one-one function `f:NtoN` such that `fog=f`

C

There exists an onto function `f:NtoN` such that `fog=f`

D

`gogog=g`

Text Solution

Verified by Experts

The correct Answer is:
C
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