Walkthrough: Filling in a Removable Discontinuity The graph below is of the function f(x) = (X -4x+3) Notice it has a removable discontinuity. x - 3 NWA 6 -5 -4 - -3 -2 -1 2 aubaNL Question: Where would you place a point to make f(x) continuous? a) The x-value of the removable discontinuity can be found by observing the domain of the original problem. f(x ) = (x- 4x+3 ) is defined at all values except x - 3 Notice that this agrees with hole in the graph. b) The y-value of the removable discontinuity is the limit as x approaches 3. Algebraically compute the following limit. -(x2 - 4x+3) lim * - 3 x - 3 c) We can conclude that the hole is at [Write the coordinate here.] So if we want to fill in the hole we would simply place a point there