JEE Main 2021 (25 July Morning Shift)

Question

Let g : N $	o$ N be defined as g(3n + 1) = 3n + 2, g(3n + 2) = 3n + 3, g(3n + 3) = 3n + 1, for all n $\ge$ 0. Then which of the following statements is true?

Accepted Answer

There exists an onto function f : N $	o$ N such that fog = f

Answer

There exists a one-one function f : N $	o$ N such that fog = f

Answer

gogog = g

Answer

There exists a function : f : N $	o$ N such that gof = f

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