Can someone please help me with this problem I have to use the hint

Please state all definitions and theorems that you will need: Thearea 5.41 Suppose fib -R is continuous on a compact set D. Then of is uniformly continuous on D. for all a ER . A function f: R - R is said to be periodic if there exists a number k > 0 such that f(a + k) = f(a) Suppose that f : R - R is continuous and periodic. and uniformly rantingnor an TD Hint : Consider The function g: [0, K] RR. Use Theorem 5.4. 6 To show 9 is uniformly conthuong when we restrict The domain To Co, K] Show That 3 2, of (x ) = 3 (2) on 50, K] Justify a way To go from , to of