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

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

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

domain

g (x) = \frac{2 x}{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

2^{x - 5} - 11

f (x) = - \frac{1}{7} x - \frac{2}{7}

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

f (x) = - e^{x} + 4

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

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