What is the domain of (x^2-4)/(x^2-9) ?

The domain of (x^2-4)/(x^2-9) is x 3

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domain of (x^2-4)/(x^2-9)

domain

\frac{x ^{2} - 4}{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) = \frac{5 x + 1}{x ^{3} - x ^{2} - 8 x}

f (x) = 3 x^{2} - 2 x + 1

f (x) = 18 - 3 x - x^{2}

y = x - 7

f (x) = 3 csc (x) + 2

What is the domain of (x^2-4)/(x^2-9) ?
The domain of (x^2-4)/(x^2-9) is x<-3\lor-3<x<3\lor x>3