Show proper workings

**For each question, show all workings and have all answers presented in simplest form.** (14) 1. For each pair of functions f(x) and g(x), find (fog) (x) = f(g(x)) and state the domain of f (x), g(x), and f(g(x)). In addition, find f(9(3) ) in each case. ) (a) f(x) = = and g(x) = 2 (b) f(2) = 72+1 and g(2) = 1 2. If f(x) = , find (f of) (x) = f(f(x)) and f(f(-3)). 3. Find two different pairs of non-trivial functions f(x) and g(x) such that h(x) = (fog)(x). (a) h(x) = (3x2 - 4x + 1)5 Co (b) h(x) = Vx-4 All information on this handout is from personal, copyrighted materials