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Help in solving a simple functional equation

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6 2 I need to find all continuous functions satisfying: $$3f(2x+1)=f(x) + 5x$$ The functional equation looks simple but I am unable to solve it. I tried to convert it into a Cauchy type equation but I wasn't able to do so. functional-equations share | cite | improve this question asked Dec 15 at 10:43 saisanjeev 891 2 12 1 Is there any restriction given for $x$? It is rath