please put the correct answer thank you :)

Answer:
The answer to your question is: letter D
Step-by-step explanation:
Data
f(x) = x³ - 9x
g(x) = x² - 2x - 3
Process
[tex]\frac{x^{3}- 9x }{x^{2} - 2x - 3}[/tex]
Factor both numerator and denominator
[tex]\frac{x(x^{2}-9) }{x^{2} - 2x - 3} = \frac{x(x + 3)(x-3)}{(x - 3)(x + 1)}[/tex]
Simplification
[tex]\frac{x(x + 3)}{(x + 1)}[/tex]