2012 AIME II Problems/Problem 11
Revision as of 16:10, 31 March 2012 by Williamhu888 (talk | contribs) (Created page with "== Problem 11 == Let <math>f_1(x) = \frac23 - \frac3{3x+1}</math>, and for <math>n \ge 2</math>, define <math>f_n(x) = f_1(f_{n-1}(x))</math>. The value of <math>x</math> that sa...")
Problem 11
Let 
, and for 
, define 
. The value of 
that satisfies 
can be expressed in the form 
, where 
and 
are relatively prime positive integers. Find 
.
