What is the domain of 4/(\frac{x){x+4}} ?

The domain of 4/(\frac{x){x+4}} is x 0

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domain of 4/(\frac{x){x+4}}

domain

\frac{4}{\frac{x}{x + 4}}

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 4/(\frac{x){x+4}} ?
The domain of 4/(\frac{x){x+4}} is x<-4\lor-4<x<0\lor x>0