What is the domain of (x^2+5x+6)/(x^2-4) ?

The domain of (x^2+5x+6)/(x^2-4) is x 2

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domain of (x^2+5x+6)/(x^2-4)

domain

\frac{x ^{2} + 5 x + 6}{x ^{2} - 4}

x < - 2 or - 2 < x < 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2

The function domain

x < - 2 or - 2 < x < 2 or x > 2

f (x) = 3 - 2 x - 4

- 3 x + 9

f (x) = \frac{2 x + 3}{3 x - 2}

f (x) = \frac{10 - 3 x - x ^{2}}{∣ x - 2 ∣}

What is the domain of (x^2+5x+6)/(x^2-4) ?
The domain of (x^2+5x+6)/(x^2-4) is x<-2\lor-2<x<2\lor x>2