The Tougher Example x- 7 Let f (x) = Vx+2-3 a) Algebraically find the region of continuity for f (x) and write you solution in interval notation. Recall that a function is continuous over its domain and with regards to domain: (denominator # 0) and (inside of a square root 2 0) [Hint: Perform these two rules and combine the results.] b) f (x) happens to have a removable discontinuity at x = 7. Algebraically determine what point needs to be added to the function so the region of continuity can be [ -2, co) ? [Use a step similar to step b on the first page. It's a tricky limit though!] So if we want to fill in the hole we would simply place a point at [Write the coordinate here.]