Question Number 2187 by 123456 last updated on 07/Nov/15
$${f}:\mathbb{N}\rightarrow\mathbb{N} \\ $$$${f}\left({n}+{m}\right)={f}\left({n}\right)+\alpha{m} \\ $$$${f}\left(\mathrm{0}\right)={k} \\ $$$${f}\left({n}\right)=? \\ $$
Answered by prakash jain last updated on 07/Nov/15
$${f}\left({n}\right)={f}\left(\mathrm{0}+{n}\right)={f}\left(\mathrm{0}\right)+\alpha{n}={k}+\alpha{n} \\ $$