Climbing a staircase

Algebra Level 3

Let F(x) F(x) be a non-decreasing function defined on [0,1] [0, 1 ] such that

{2F(x3)=F(x),F(x)+F(1x)=1. \begin{cases} 2 F \left ( \frac{x}{3} \right) = F(x), \\ F(x) + F(1-x) = 1 .\\ \end{cases}

What is the value of F(113) F ( \frac{1}{13} )?

×

Problem Loading...

Note Loading...

Set Loading...