Menu Close

find-all-functions-f-R-R-with-the-property-that-f-f-x-2y-10x-f-f-y-3x-holds-for-all-a-b-R-




Question Number 153989 by mathdanisur last updated on 12/Sep/21
find all functions  f : R→R  with the  property that  f(f(x) + 2y = 10x + f(f(y)-3x)  holds for all  a;b∈R
$$\mathrm{find}\:\mathrm{all}\:\mathrm{functions}\:\:\mathrm{f}\::\:\mathbb{R}\rightarrow\mathbb{R}\:\:\mathrm{with}\:\mathrm{the} \\ $$$$\mathrm{property}\:\mathrm{that} \\ $$$$\mathrm{f}\left(\mathrm{f}\left(\mathrm{x}\right)\:+\:\mathrm{2y}\:=\:\mathrm{10x}\:+\:\mathrm{f}\left(\mathrm{f}\left(\mathrm{y}\right)-\mathrm{3x}\right)\right. \\ $$$$\mathrm{holds}\:\mathrm{for}\:\mathrm{all}\:\:\mathrm{a};\mathrm{b}\in\mathbb{R} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *