Question

Given that f(x) = x2 – 12x + 27 and g(x) = x – 9, find (f.g)(x) and express

Answer 1

Step-by-step explanation:

$f(x) = {x}^{2} - 12x + 27 \\ g(x) = x - 9 \\ (f \times g)(x) = ( {x}^{2} - 12x + 27)(x - 9) \\ (f \times g)(x) = {x}^{3} - 9 {x}^{2} - 12 {x}^{2} + 108x + 27x - 243 \\ (f \times g)(x) = {x}^{3} - 21 {x}^{2} + 135x - 243$