2001 AIME II Problems/Problem 8

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Problem

A certain function $f$ has the properties that $f(3x) = 3f(x)$ for all positive real values of $x$, and that $f(x) = 1 - \mid x - 2 \mid$ for $1\leq x \leq 3$. Find the smallest $x$ for which $f(x) = f(2001)$.

Solution

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See also

2001 AIME II (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions