Answer:
x + 6
Step-by-step explanation:
(f ÷ g)(x) = f(x) ÷ g(x), that is
[tex]\frac{x^2-3x-54}{x-9}[/tex] ← factorise numerator
= [tex]\frac{(x-9)(x+6)}{x-9}[/tex] ← cancel the common factor (x - 9), leaving
= x + 6
