R=1

Question 2 (25 marks) (a) Let f(x) = 2x-1 for x * -3. 3x +9 (i) Determine, with reason, whether the function f(x) is odd, even or neither. (3 marks) (ii) Determine the inverse function of f(x) and state the domain and range of f(x). (4 marks) (iii) Find the function g such that (fog) (x) = e". (4 marks) (iv) Find the function h such that (hof)(x)= x3. (4 marks) (b) Let a and b be real constants and f : R -> R be a function defined by 2, if x5-1, f (x) = ax +bx+1, if -1