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f-x-f-x-1-x-2-x-R-f-19-94-f-94-




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

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