Could you please provide me with a step by step solution and answer so I can see if I am on the right track in my own work? Thanks

Problem 9: Determine where the function g(x) defined below is continuous and discontinuous. Classify each point of discontinuity as a removable discontinuity, jump discontinuity or an infinite discontinuity. (Hint: Factor everything first and look at the lecture notes for the definitions of each of the different discontinuities.) 02 + 2x - 15 g (2) = (a + 2) |20 - 31 (202 + 72 + 10)