Q2. Solve the following problems: (a) Define functions f(x) = x+5 5-x' g(x) = cos(x) and h(x) = arccos(x) 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 (goh)(x); and (iii) the largest possible domains of f and g. Please simplify your solutions. [12 marks] (b) Let function f(x) = 3(x+1)(x + 2) and Dom(f) = (0, ). Given that f(x) is strictly increasing, find a formula for the inverse function f-1. (c) Let function f(x) = (- tan(x)) ( + tan(x)) and Dom(f) = [1,0]. Given that the inverse function exists, find a formula for the inverse function f-1. [6 marks] [6 marks]