What is the domain of g(x)=(x+5)/(x^2-36) ?

The domain of g(x)=(x+5)/(x^2-36) is x 6

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domain of g(x)=(x+5)/(x^2-36)

domain

g (x) = \frac{x + 5}{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

- \frac{1}{x - 3} - 1

\frac{x - 3}{x + 3}

f (x) = \frac{1}{4} sin (x - \frac{π}{4})

f (x) = - 6 + 6 x^{3}

f (x) = - 6 x^{2} + 4 x + 9

What is the domain of g(x)=(x+5)/(x^2-36) ?
The domain of g(x)=(x+5)/(x^2-36) is x<-6\lor-6<x<6\lor x>6