- #1
SMA_01
- 218
- 0
Let f and g be two continuous functions on ℝ with the usual metric and let S[itex]\subset[/itex]ℝ be countable. Show that if f(x)=g(x) for all x in Sc (the complement of S), then f(x)=g(x) for all x in ℝ.
I'm having trouble understanding how to approach this problem, can anyone give me a hint leading me in the right direction?
Thank you.
I'm having trouble understanding how to approach this problem, can anyone give me a hint leading me in the right direction?
Thank you.