Find the continuous functions [on hold]How to find all possible continuous functions given what the function does to each value.Problem involving Properties of continuous functionsFind all such functions $f:Rto R$Find all real and continuous functions that are a 3-involution.Find all continuous functions $f$ over real numbers such that $f(x)+x = 2f(2x)$Find a sequence of continuous functionsFind all continuous functions that satisfy the Jensen inequality(?) $f(fracx+y2)=fracf(x)+f(y)2$Find all continuous functions such that $f(x)f(2x)dots f(nx) le an^k$Property of continuous functionsLet $ f:(-1,1)to(-1,1)$ be continuous, $f(x)=f(x^2)$ for every $x$ then the value of $f(frac 1 4)$

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Find the continuous functions [on hold]


How to find all possible continuous functions given what the function does to each value.Problem involving Properties of continuous functionsFind all such functions $f:Rto R$Find all real and continuous functions that are a 3-involution.Find all continuous functions $f$ over real numbers such that $f(x)+x = 2f(2x)$Find a sequence of continuous functionsFind all continuous functions that satisfy the Jensen inequality(?) $f(fracx+y2)=fracf(x)+f(y)2$Find all continuous functions such that $f(x)f(2x)dots f(nx) le an^k$Property of continuous functionsLet $ f:(-1,1)to(-1,1)$ be continuous, $f(x)=f(x^2)$ for every $x$ then the value of $f(frac 1 4)$













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$begingroup$



Find the continuous functions $f : mathbbR to mathbbR$ such that $$ 6f(3x)= 3f(x+2) + 2f(x-3)+ 13 x$$ for every $x in mathbbR$.




Can you give me one hint, please? I don't know how to start.






continuity functional-equations







share|cite|improve this question











$endgroup$



put on hold as off-topic by RRL, José Carlos Santos, Lee David Chung Lin, Jyrki Lahtonen, rtybase yesterday


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, José Carlos Santos, Lee David Chung Lin, Jyrki Lahtonen, rtybase
If this question can be reworded to fit the rules in the help center, please edit the question.




















    2












    $begingroup$



    Find the continuous functions $f : mathbbR to mathbbR$ such that $$ 6f(3x)= 3f(x+2) + 2f(x-3)+ 13 x$$ for every $x in mathbbR$.




    Can you give me one hint, please? I don't know how to start.






    continuity functional-equations







    share|cite|improve this question











    $endgroup$



    put on hold as off-topic by RRL, José Carlos Santos, Lee David Chung Lin, Jyrki Lahtonen, rtybase yesterday


    This question appears to be off-topic. The users who voted to close gave this specific reason:


    • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, José Carlos Santos, Lee David Chung Lin, Jyrki Lahtonen, rtybase
    If this question can be reworded to fit the rules in the help center, please edit the question.


















      2












      2








      2


      1



      $begingroup$



      Find the continuous functions $f : mathbbR to mathbbR$ such that $$ 6f(3x)= 3f(x+2) + 2f(x-3)+ 13 x$$ for every $x in mathbbR$.




      Can you give me one hint, please? I don't know how to start.






      continuity functional-equations







      share|cite|improve this question











      $endgroup$





      Find the continuous functions $f : mathbbR to mathbbR$ such that $$ 6f(3x)= 3f(x+2) + 2f(x-3)+ 13 x$$ for every $x in mathbbR$.




      Can you give me one hint, please? I don't know how to start.






      continuity functional-equations




      continuity functional-equations






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited yesterday









      Rodrigo de Azevedo

      13k41960




      13k41960










      asked yesterday









      rafarafa

      618212




      618212




      put on hold as off-topic by RRL, José Carlos Santos, Lee David Chung Lin, Jyrki Lahtonen, rtybase yesterday


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, José Carlos Santos, Lee David Chung Lin, Jyrki Lahtonen, rtybase
      If this question can be reworded to fit the rules in the help center, please edit the question.







      put on hold as off-topic by RRL, José Carlos Santos, Lee David Chung Lin, Jyrki Lahtonen, rtybase yesterday


      This question appears to be off-topic. The users who voted to close gave this specific reason:


      • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – RRL, José Carlos Santos, Lee David Chung Lin, Jyrki Lahtonen, rtybase
      If this question can be reworded to fit the rules in the help center, please edit the question.




















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