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

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

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domain of f(x)=(x-9)/(x^2-81)

domain

f (x) = \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

2 x - 4 y + 5 = 0

3 x + 5

f (x) = x^{2} + 4 x - 3

(10.4) (4.1)

f (x) = (x^{3} - 6)^{\frac{1}{2}}

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