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

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

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

domain

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

x < - 2 or - 2 < x < 0 or 0 < x < 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 2, 0) \cup (0, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 2, x = 2

The function domain

x < - 2 or - 2 < x < 0 or 0 < x < 2 or x > 2

What is the domain of g(x)=(x+4)/(x^3-4x) ?
The domain of g(x)=(x+4)/(x^3-4x) is x<-2\lor-2<x<0\lor 0<x<2\lor x>2