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Tag Archives: Functional Equations
[Soln] Find f(-100)
Let be a polynomial such that Find . (Credits: I learnt of this problem from Zi Song Yeoh on brilliant.org.)
Find f(-100)
Let be a polynomial such that Find . (Credits: I learnt of this problem from Zi Song Yeoh on brilliant.org.)
[Soln] 2016 Japan Math Olympiad Finals Problem 4
2016 JMO Finals 4. Find all functions such that for all .
2016 Japan Math Olympiad Finals Problem 4
2016 JMO Finals 4. Find all functions such that for all .
[Soln] Function’s domain is important!
Let be a function such that Find all that satisfy if: (i) ; (ii) and is continuous. (Here, denotes the set of positive real numbers.)
Function’s domain is important!
Let be a function such that Find all that satisfy if: (i) ; (ii) and is continuous. (Here, denotes the set of positive real numbers.)
[Soln] 2014 Singapore MO (Open Rd 1) Problem 9
2014 SMO (Open-Rd1) 9. A real-valued function satisfies the equation for all real numbers . Find .
2014 Singapore MO (Open Rd 1) Problem 9
2014 SMO (Open-Rd1) 9. A real-valued function satisfies the equation for all real numbers . Find .
[Soln] 2013 USA Stanford Mathematics Tournament Algebra Qn 4
2013 USA SMT Alg 4. Given that for all real , compute .
Beyond Solutions 
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