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