Most candidates performed well in this question. They were able to substitute correctly real numbers to find g[g(- 3)]. The values of g[f(x)]and f[g(x)] were correctly evaluated by most candidates.
g[g(x)] = g(3x – 7) = 3(3x – 7) – 7 = 9x - 28
\ g[g(-3)] = - 27 – 28 = - 55
g[f(x)] = g(2x2 – 3x – 5) = 3(2x2 – 3x – 5) – 7 = 6x2 – 9x – 22
f[g(x)] = f(3x – 7) = 18x2 - 93x + 114