Question 49
Let $F$ be an increasing real function defined for all $x$, $0 \leq x \leq 1$, satisfying the conditions
(i) $F\left(\frac{x}{3}\right)=\frac{F(x)}{2}$,
(ii) $F(1-x)=1-F(x)$.
Determine $F\left(\frac{173}{1993}\right)$ and $F\left(\frac{1}{13}\right)$.
(i) $F\left(\frac{x}{3}\right)=\frac{F(x)}{2}$,
(ii) $F(1-x)=1-F(x)$.
Determine $F\left(\frac{173}{1993}\right)$ and $F\left(\frac{1}{13}\right)$.