# Thread: [SOLVED] Urgent -f/g need not be uniformly continuous

1. ## [SOLVED] Urgent -f/g need not be uniformly continuous

I need help proving if D is compact, then f/g must be uniformly continuous on D.

2. Originally Posted by student1001
I need help proving if D is compact, then f/g must be uniformly continuous on D.
Unless there are other hypothsis the statement is false

counter example:

let

$D=[1,3] \mbox{ and } f(x)=x,g(x)=3-x$

Both f and g are uniformly cont on D $\epsilon=1$ will work for all delta but $\frac{f(x)}{g(x)}$

I am thinking that $g(x) \ne 0$ on D as well.