What is the domain of ((x-6))/(x^2-36) ?

The domain of ((x-6))/(x^2-36) is x 6

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domain of ((x-6))/(x^2-36)

domain

\frac{( x - 6 )}{x ^{2} - 36}

x < - 6 or - 6 < x < 6 or x > 6

Interval Notation

(- \infty, - 6) \cup (- 6, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 6

The function domain

x < - 6 or - 6 < x < 6 or x > 6

f (x) = \frac{x + 3}{x ^{2} - 5}

f (x) = \frac{2 x - 4}{x ^{2} + 1}

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

\frac{\frac{x}{x + 1}}{\frac{1}{x}}

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

What is the domain of ((x-6))/(x^2-36) ?
The domain of ((x-6))/(x^2-36) is x<-6\lor-6<x<6\lor x>6