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1991 OIM Problems/Problem 3

Revision as of 13:48, 13 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Let <math>f</math> be an increasing function defined for every real number <math>x</math>, <math>0 \le x \le 1</math>, such that: a. <math>f(0) = 0</math> b. <...")
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Problem

Let $f$ be an increasing function defined for every real number $x$, $0 \le x \le 1$, such that:

a. $f(0) = 0$

b. $f(x/3) = f(x)/2$

c. $f(1-x) = 1 - f(x)$

Find $f(18/1991)$

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

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See also

https://www.oma.org.ar/enunciados/ibe6.htm

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