What is the domain of f(x)= x/(x^2-169) ?

The domain of f(x)= x/(x^2-169) is x 13

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domain of f(x)= x/(x^2-169)

domain

f (x) = \frac{x}{x ^{2} - 169}

x < - 13 or - 13 < x < 13 or x > 13

Interval Notation

(- \infty, - 13) \cup (- 13, 13) \cup (13, \infty)

Solution steps

Find undefined (singularity) points:

x = 13, x = - 13

The function domain

x < - 13 or - 13 < x < 13 or x > 13

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

x = - \frac{1}{4} (y - 4)^{2} - 5

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

f (x) = \frac{36}{x}

f (x) = 5 x^{4} + 20 x^{3}

What is the domain of f(x)= x/(x^2-169) ?
The domain of f(x)= x/(x^2-169) is x<-13\lor-13<x<13\lor x>13