# prove there is no such continuous function

• November 18th 2011, 02:38 PM
wopashui
prove there is no such continuous function
Prove that there does not exist a continuous function f:R-->R satisfying f(Q) $\subset$ R\Q and f(R\Q) $\subset$Q.
• November 18th 2011, 02:43 PM
TheChaz
Re: prove there is no such continuous function
I have proven it. What is your next command?