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Category: Relation and Functions

f-R-R-continuous-such-that-x-R-f-x-f-f-x-1-f-2004-2003-f-1999-

Question Number 950 by 123456 last updated on 06/May/15 f:RR,continuoussuchthatxR,f(x)f[f(x)]=1,f(2004)=2003,f(1999)=? Commented by 123456 last updated on 06/May/15 f(2004)f[f(2004)]=2003f(2003)=1f(2003)=12003f(2003)f[f(2003)]=12003f(12003)=1f(12003)=2003=f(2004)$${f}\left(\frac{\mathrm{1}}{\mathrm{2003}}\right){f}\left[{f}\left(\frac{\mathrm{1}}{\mathrm{2003}}\right)\right]=\mathrm{2003}{f}\left(\mathrm{2003}\right)=\mathrm{1} \