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# Which domain restrictions apply to the rational expression?

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Which domain restrictions apply to the rational expression?

x^2+5x+6

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x^2−9

x≠−3

x≠1

x≠2

x≠3

x≠−2

x≠−1

Nov 28, 2018

#1
+5172
+3

the domain restrictions in this case will arise from the denominator being zero for a couple values of x.

$$\dfrac{x^2+5x+6}{x^2-9} = \dfrac{x^2+5x+6}{(x-3)(x+3)} \\ \text{and it is seen that the denominator will be zero at }x=\pm 3\\ \text{thus }x \neq 3,~x \neq -3$$

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Nov 28, 2018