Question Number 89188 by naka3546 last updated on 16/Apr/20
$${f}\left({x}\right)\:+\:{f}\left({x}−\mathrm{1}\right)\:\:=\:\:{x}^{\mathrm{2}} \:\:\:,\:\:\:{x}\:\in\:\mathbb{R} \\ $$$${f}\left(\mathrm{19}\right)\:\:=\:\:\mathrm{94} \\ $$$${f}\left(\mathrm{94}\right)\:\:=\:\:...\:\:? \\ $$
Answered by jagoll last updated on 16/Apr/20
$${i}\:{got}\:{f}\left({x}\right)=\frac{\mathrm{1}}{\mathrm{2}}{x}\left({x}+\mathrm{1}\right) \\ $$$${but}\:{f}\left(\mathrm{19}\right)\:\neq\:\mathrm{94}\: \\ $$$${why}\:? \\ $$
Answered by naka3546 last updated on 16/Apr/20
$${f}\left(\mathrm{94}\right)\:=\:\mathrm{4561} \\ $$