if is unif. cont. on and is positive and bounded on , then is unif. cont. on
I understand that M>0. since g is bounded. We know f is unif. cont. so for any there exists delta > 0 such that with . Here is where I think I go wrong and do not understand. Do I simplify to be ?
g not being uniformly continuous is really throwing me off. I believe I need to use something from g being continuous?