Find-all-functions-f-Q-Q-satisfying-these-followong-conditions-for-all-x-Q-1-f-x-1-f-x-1-2-f-x-3-f-3-x-

Question Number 153898 by mathdanisur last updated on 11/Sep/21

Find all functions f : Q \to Q satisfying

these followong conditions for all x \in Q

1 . f (x + 1) = f (x) + 1

2 . f (x^{3}) = f^{3} (x)

Answered by talminator2856791 last updated on 12/Sep/21

1 . f (x + 1) = f (x) + 1

f (x) = x + k, k \in R

2 . f (x^{3}) = {(f (x))}^{3}

f (x) = x^{k}, k \in R