What is the domain of (x^2+5x+6)/(x^2-9) ?

The domain of (x^2+5x+6)/(x^2-9) is x 3

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domain of (x^2+5x+6)/(x^2-9)

domain

\frac{x ^{2} + 5 x + 6}{x ^{2} - 9}

x < - 3 or - 3 < x < 3 or x > 3

Interval Notation

(- \infty, - 3) \cup (- 3, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 3

The function domain

x < - 3 or - 3 < x < 3 or x > 3

f (x) = lo g_{10} (x^{2} + 2 x - 3)

ln (- 3 x + 1)

f (x) = \frac{1}{x ( x + 3 )}

f (x) = 3 x^{3} - 6 x^{2} + 15 x + 21

g (x) = \frac{x}{x ^{2} + 81}

What is the domain of (x^2+5x+6)/(x^2-9) ?
The domain of (x^2+5x+6)/(x^2-9) is x<-3\lor-3<x<3\lor x>3