Find all functions $f: \mathbb{Z} \rightarrow \mathbb{Z}$ such that $f(2n)+2f(2m)=f(f(n+m))$, $\forall m,n\in \mathbb{Z}$
Answer
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.
- answered
- 942 views
- $15.00
Related Questions
- (a) Find the coordinates (x,y) which will make the rectangular area A = xy a maximum. (b) What is the value of the maximum area?
- Evaluate $\int_C (2x^3-y^3)dx+(x^3+y^3)dy$, where $C$ is the unit circle.
- Improper integral
- Is $\sum_{i=1}^{\infty}\arctan (\frac{n+1}{n^2+5})$ convergent or divergent?
- How do you prove integration gives the area under a curve?
- Convergence integrals
- Find the area under the graph of $y=\sin x$ between $x=0$ and $x=\pi$.
- Extremal values/asymptotes
There is a typo: f(2n)+2f(m)=f(f(n+m))
just for clarification you're saying that the typo, that is the *incorrect* relation is: f(2n)+2f(2m)=f(f(n+m)), and that the CORRECT relation is: f(2n)+2f(m)=f(f(n+m))?
Yes