# Math Help - Continuous functions

1. ## Continuous functions

Need some help on the following:

Suppose f and g are continuous real valued functions defined on I such that I is defined on the closed interval [0,1]. We also know that f(m/(2^n))=g(m/(2^n)) for all rational numbers in I. Prove that f=g.

2. Originally Posted by PauKelome
Suppose f and g are continuous real valued functions defined on I such that I is defined on the closed interval [0,1]. We also know that f(m/(2^n))=g(m/(2^n)) for all rational numbers in I. Prove that f=g.