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

The domain of ((x/(x+4)))/((x^3)) is x 0

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domain of ((x/(x+4)))/((x^3))

domain

\frac{( \frac{x}{x + 4} )}{( x ^{3} )}

x < - 4 or - 4 < x < 0 or x > 0

Interval Notation

(- \infty, - 4) \cup (- 4, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 4

The function domain

x < - 4 or - 4 < x < 0 or x > 0

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