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Category: Algebra

f-2f-x-f-y-2x-y-f-R-R-f-x-x-y-R-

Question Number 105120 by Josias last updated on 26/Jul/20 $${f}\left(\mathrm{2}{f}\left({x}\right)+{f}\left({y}\right)\right)=\mathrm{2}{x}+{y}\:\:\:{f}:\mathbb{R}\rightarrow\mathbb{R} \\ $$$${f}\left({x}\right)=?\:\:\:\:{x},{y}\in\mathbb{R} \\ $$$$ \\ $$ Answered by SUMIT007 last updated on 26/Jul/20 $${f}\left({x}\right)={x}\:\:\:\:\mathrm{simple} \\…

Question-170623

Question Number 170623 by cortano1 last updated on 27/May/22 Answered by greougoury555 last updated on 28/May/22 $${d}=\sqrt{{x}^{\mathrm{2}} +\mathrm{81}}\:+\sqrt{\left({x}−\mathrm{5}\right)^{\mathrm{2}} +\mathrm{36}} \\ $$$${d}'=\frac{{x}}{\:\sqrt{{x}^{\mathrm{2}} +\mathrm{81}}}\:+\frac{{x}−\mathrm{5}}{\:\sqrt{\left({x}−\mathrm{5}\right)^{\mathrm{2}} +\mathrm{36}}}\:=\mathrm{0} \\ $$$$\Rightarrow\frac{{x}}{\:\sqrt{{x}^{\mathrm{2}}…