Question

what is the value of the rational expression \\(\frac{x}{x^2 - 9}\\) when \\(x = -3\\)?
\\(-\frac{1}{12}\\)
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0
\\(\frac{1}{6}\\)

Explanation:

Step1: Substitute $x=-3$ into denominator

$x^2 - 9 = (-3)^2 - 9$

Step2: Calculate denominator value

$(-3)^2 - 9 = 9 - 9 = 0$

Step3: Analyze rational expression validity

A rational expression is undefined when its denominator equals 0, as division by 0 is not allowed in mathematics.

Answer:

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