5. [Maximum mark: 15] (a) Given the function f (x) = 2-x i. Write down the equation of the vertical asymptote. [1] ii. Write down the equation of the horizontal asymptote. [1] ii. Write down the coordinates of any axis intercepts. [2] (b) Show that f(x) is NOT a self-inverse function. [5] Consider another function g(x) = a(x - 2), a E R Di (c) Find the set of values for a such that the graphs f(x) and g(x) have no intersection points. [6] a