Q2. Solve the following problems: (a) Define functions f(x) = , g(x) = cos(r) and h(x) = arccos(r ) where the domain of h is defined to be [-1, 1). Find (i) the expressions of f(x)g(x) + h(x) and f(x)/h(x); (ii) the expression for composite function (go h) (x); and (iii) the largest possible domains of f and g. Please simplify your solutions. [12 marks] (b) Let function f(x) = V(x + 1)(r +2) and Dom(f) = (0, co). Given that f(x) is strictly increasing, find a formula for the inverse function f-1. [6 marks] (c) Let function f(x) = (x - tan(x))(* + tan(x)) and Dom(f) = [-5, 0]. Given that the inverse function exists, find a formula for the inverse function f-1. [6 marks]