Answered

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Which of the following is equal to the rational expression when x=-3?x²-9X + 3O A.X-3X + 3OB. X+31O c.X-3O D. x-3

Sagot :

We are to get the equivalent expression to the function when x is not equal to - 3.

[tex]\frac{x^2-9}{x+3}[/tex]

First, we try to factorize the numerator, we can see that it is a difference of two squares, so we can factorize it;

[tex]\begin{gathered} \frac{x^2-9}{x+3}=\frac{(x-3)(x+3)}{x+3} \\ \text{the x+3's cancel out to give} \\ (x-3) \end{gathered}[/tex]

Therefore, the correct answer is option D.

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