Question 2 (25 marks) (a) Let f(x) =- 2x - 1 for x # -3. 3x +9 (i) Determine, with reason, whether the function /(x) is odd, even or neither. (3 marks) (ii) Determine the inverse function of f(x) and state the domain and range of /(x). (4 marks) (iii) Find the function g such that (fog) (x) = e". (4 marks) (iv) Find the function h such that (hof) (x) =x. (4 marks) (b) Let a and b be real constants and / : R -> R be a function defined by 2, if x5-1, f (x) = ax +bx+1, if -1