Examples-of-functions-such-that-f-x-y-f-x-f-y-for-all-x-y-R-

Question Number 119800 by Ar Brandon last updated on 27/Oct/20

$$\mathrm{Examples}\:\mathrm{of}\:\mathrm{functions}\:\mathrm{such}\:\mathrm{that} \\ $$$${f}\left(\mathrm{x}+\mathrm{y}\right)={f}\left(\mathrm{x}\right)+{f}\left(\mathrm{y}\right)\:\mathrm{for}\:\mathrm{all}\:\mathrm{x},\mathrm{y}\in\mathbb{R} \\ $$

Commented by mr W last updated on 27/Oct/20

$${f}\left({x}\right)={ax} \\ $$

Commented by Ar Brandon last updated on 27/Oct/20

OK, thank you Sir.

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