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

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

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

domain

f (x) = \frac{x}{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

\frac{x ^{3}}{x ^{2} + 1}

f (x) = \frac{ln ( x ^{2} - 9 )}{- x ^{2} + x - 12}

f (x) = lo g_{10} (x - 4)

\frac{( 4 a ^{2} - 20 a + 25 )}{25 - 4 a ^{2}}

\frac{1}{2} x - 3

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