Tag Archives: Functional Equation

Fermat Contest 2020 Question 23 on Functional Equation

Posted on January 20, 2026 by Sumant Sumant

There are real numbers and for which the function has the properties that for all real numbers and for all real numbers . What is the value of

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Fermat Contest 2019 Question 19 on Functional Equation

Posted on January 18, 2026 by Sumant Sumant

The function has the properties that and for every integer . What is the value of ?

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Fermat Contest 2020 Question 23 on Functional Equation

Posted on January 16, 2026 by Sumant Sumant

There are real numbers and for which the function has the properties that for all real numbers, and for all real numbers . What is the value of ?

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Fermat contest 2022 Question on Functional Equation

Posted on January 7, 2026 by Sumant Sumant

There are functions with the following properties: for some integers and with and $f(p) =f(q)=17$ and $llatex f(p+q)=47$ for some prime numbers and with . for each such function the value of $f(pq)$ is calculated. Te sum of all possible … Continue reading →

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British Math Olympiad 1996 Problem 2 on Functional Equation

Posted on January 3, 2026 by Sumant Sumant
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Fermat Contest 2021 Question 21 on Functional Equation

Posted on January 2, 2026 by Sumant Sumant
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