Respuesta :

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]      

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