What is the domain of (x+9)/(x^2-81) ?

The domain of (x+9)/(x^2-81) is x 9

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domain of (x+9)/(x^2-81)

domain

\frac{x + 9}{x ^{2} - 81}

x < - 9 or - 9 < x < 9 or x > 9

Interval Notation

(- \infty, - 9) \cup (- 9, 9) \cup (9, \infty)

Solution steps

Find undefined (singularity) points:

x = 9, x = - 9

The function domain

x < - 9 or - 9 < x < 9 or x > 9

f (x) = \frac{x ^{2} + 2 x}{x + 1}

2 x^{2} - 6 x + 4 - 3 x - 5

y = \frac{1}{x - 5}

3 x^{\frac{2}{3}} - x^{2}

10 - x

What is the domain of (x+9)/(x^2-81) ?
The domain of (x+9)/(x^2-81) is x<-9\lor-9<x<9\lor x>9