What is the domain of 6/(\frac{x){x+6}} ?

The domain of 6/(\frac{x){x+6}} is x 0

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domain of 6/(\frac{x){x+6}}

domain

\frac{6}{\frac{x}{x + 6}}

x < - 6 or - 6 < x < 0 or x > 0

Interval Notation

(- \infty, - 6) \cup (- 6, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 6

The function domain

x < - 6 or - 6 < x < 0 or x > 0

What is the domain of 6/(\frac{x){x+6}} ?
The domain of 6/(\frac{x){x+6}} is x<-6\lor-6<x<0\lor x>0