What is the domain of f(x)= 2/(\frac{x){x+2}} ?

The domain of f(x)= 2/(\frac{x){x+2}} is x 0

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domain of f(x)= 2/(\frac{x){x+2}}

domain

f (x) = \frac{2}{\frac{x}{x + 2}}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0, x = - 2

The function domain

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

What is the domain of f(x)= 2/(\frac{x){x+2}} ?
The domain of f(x)= 2/(\frac{x){x+2}} is x<-2\lor-2<x<0\lor x>0