What is the domain of g(x)=(3x)/(x^2-4) ?

The domain of g(x)=(3x)/(x^2-4) is x 2

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domain of g(x)=(3x)/(x^2-4)

domain

g (x) = \frac{3 x}{x ^{2} - 4}

x < - 2 or - 2 < x < 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2

The function domain

x < - 2 or - 2 < x < 2 or x > 2

f (- 2) = - 2 e f (3) = - 2

\frac{x ^{2} - 36}{x ^{2} - 9 x + 8}

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

f (x) = - sin^{2} (x) + 1

f (x) = \frac{2 x + 8}{3 x + 18}

What is the domain of g(x)=(3x)/(x^2-4) ?
The domain of g(x)=(3x)/(x^2-4) is x<-2\lor-2<x<2\lor x>2