Simplify the expressions in each pair. (2 marks each) (Show your work)

Question

i)f(x)=(x^2-x-2)/(x+1), g(x)=(x-2)
ii)f(x)=(x^2-x-12)/(x+3), g(x)=(x^2-6x+8)/(x-2)

Answer 1

1. F(x) = (x+1)(x-2)/(x+1) = x-2 = g(x)

2. F(x) = (x+3)(x-4)/x+3 = x-4.
g(x) = (x-2)(x-4)/(x-2) = x-4 = F(x).