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Category: Relation and Functions

Find-f-x-such-that-f-x-f-1-1-x-x-

Question Number 125968 by bramlexs22 last updated on 16/Dec/20 $$\:\:\:{Find}\:{f}\left({x}\right)\:{such}\:{that}\: \\ $$$$\:\:{f}\left({x}\right)+{f}\left(\frac{\mathrm{1}}{\mathrm{1}−{x}}\right)\:=\:{x} \\ $$ Answered by liberty last updated on 16/Dec/20 $$\left(\mathrm{1}\right)\:{f}\left({x}\right)+{f}\left(\frac{\mathrm{1}}{\mathrm{1}−{x}}\right)\:=\:{x} \\ $$$${replace}\:{x}\rightarrow\frac{\mathrm{1}}{\mathrm{1}−{x}}\: \\…