- #1
Halen
- 13
- 0
The question states:
Suppose that f:R--->R is continuous and that f(x) in the set Q (f(x)eQ) for all x in the Reals (xeR)
Prove that f is constant.
How would you go about this question? Any help is appreciated!
i know we have to prove that f(x) is equal to some constant (p/q) ; q not equal to 0 for all xeR but how would you prove this?
Suppose that f:R--->R is continuous and that f(x) in the set Q (f(x)eQ) for all x in the Reals (xeR)
Prove that f is constant.
How would you go about this question? Any help is appreciated!
i know we have to prove that f(x) is equal to some constant (p/q) ; q not equal to 0 for all xeR but how would you prove this?