1. The problem statement, all variables and given/known data Suppose f: E--> R is cont at x0 and x0 is an element of F contained in E. Define g:F--->R by g(x)=f(x) for all x elemts of F. Prove g is continuous at x0. Show by example that the continuity of g at x0 need not imply the continuity of f at x0. 2. Relevant equations lx-x0l<delta lf(x)-f(x0)l<epsilon 3. The attempt at a solution lx-x0l<delta lg(x)-g(x0)l<epsilon lf(x)-f(x0l<epsilon Ok, then it's continuous because g(x)=f(x)?