MARKS Page three Attempt ALL questions Total marks – 70 1. The vertices of triangle ABC are A(−5, 7), B(−1, −5) and C(13, 3) as shown in the diagram. The broken line represents the altitude from C. (a) Show that the equation of the altitude from C is x – 3y = 4. (b) Find the equation of the median from B. (c) Find the coordinates of the point of intersection of the altitude from C and the median from B. 2. Functions f and g are defined on suitable domains by f(x) = 10 + x and g(x) = (1 + x) (3 – x) + 2. (a) Find an expression for f ( g (x)). (b) Express f (g(x)) in the form p(x + q)2 + r. (c) Another function h is given by ( ) ( ) ( ) 1 = h x f g x . What values of x cannot be in the domain of h ? [Turn over 4 3 2 2 3 2 y x A C B