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Question-192181




Question Number 192181 by momdli last updated on 10/May/23
Answered by AST last updated on 10/May/23
2f(x)+f((1/2))=(x/2)⇒f((1/2))=(1/(12))  ⇒f(x)=((6x−1)/(24))⇒f(3)=((17)/(24))
$$\mathrm{2}{f}\left({x}\right)+{f}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)=\frac{{x}}{\mathrm{2}}\Rightarrow{f}\left(\frac{\mathrm{1}}{\mathrm{2}}\right)=\frac{\mathrm{1}}{\mathrm{12}} \\ $$$$\Rightarrow{f}\left({x}\right)=\frac{\mathrm{6}{x}−\mathrm{1}}{\mathrm{24}}\Rightarrow{f}\left(\mathrm{3}\right)=\frac{\mathrm{17}}{\mathrm{24}} \\ $$

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