Having the conclusion follows.
if f and g are 2 uniformly continuous functions on X --> R
show that f+g is uniformly continuous on X
I tried showing that f+g is Lipschitz because all Lipschitz functions are uniformly continuous.
So i end up with d(x_1,x_2) < delta then d([f(x1)+g(x1)],[f(x2)+g(x2)])<epsilon. how can I show this is lipshcitz