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If-f-x-y-f-x-f-y-and-f-1-5-then-what-is-the-value-of-f-2020-




Question Number 93331 by john santu last updated on 12/May/20
If f(x+y) = f(x)+f(y) and  f(1)=5 then what is the value  of f(2020) ?
$$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}+\mathrm{y}\right)\:=\:\mathrm{f}\left(\mathrm{x}\right)+\mathrm{f}\left(\mathrm{y}\right)\:\mathrm{and} \\ $$$$\mathrm{f}\left(\mathrm{1}\right)=\mathrm{5}\:\mathrm{then}\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value} \\ $$$$\mathrm{of}\:\mathrm{f}\left(\mathrm{2020}\right)\:?\: \\ $$
Commented by mr W last updated on 12/May/20
f(x)=5x  f(2020)=5×2020
$${f}\left({x}\right)=\mathrm{5}{x} \\ $$$${f}\left(\mathrm{2020}\right)=\mathrm{5}×\mathrm{2020} \\ $$
Commented by john santu last updated on 12/May/20
thank you both
$$\mathrm{thank}\:\mathrm{you}\:\mathrm{both} \\ $$
Answered by i jagooll last updated on 12/May/20

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