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.) Advertisements

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Find f(-100)

Let be a polynomial such that Find . (Credits: I learnt of this problem from Zi Song Yeoh on brilliant.org.)

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[Soln] 2016 Japan Math Olympiad Finals Problem 4

2016 JMO Finals 4. Find all functions such that for all .

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2016 Japan Math Olympiad Finals Problem 4

2016 JMO Finals 4. Find all functions such that for all .

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[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.)

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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.)

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[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 .

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