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MathNet 1991 — Part 01 Question 35

Math Olympiad Vault · MathNet 1991 — Part 01

Question 35

$f$ is a function defined on all reals in the interval $[0,1]$ and satisfies $f(0) = 0$, $f(x/3) = f(x)/2$, $f(1-x) = 1 - f(x)$. Find $f(18/1991)$.