Please complete all these parts asap, thank you!

5. For the function: f (x) = x + 3 (x2 - 4 ) f'(x) = x - 6x - 4 (x2 - 4)2 f"(x) = 2(x +9x2 + 12x+12) (x2 - 4)3 a) Find the domain. [1] b) Find vertical and horizontal asymptotes. Examine vertical asymptote on either side of the discontinuity. [3] c) Find all intercepts. [1] d) Find critical point(s). [1] e) Find any local extrema. [2]f) Find point(s) of inflection. [3] g) Sketch. Include labels for: intercepts, asymptotes, critical point(s), and point(s) of inflection. [4]