What is the domain of 2/x*x/(x+2) ?

The domain of 2/x*x/(x+2) is x 0

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domain of 2/x*x/(x+2)

domain

\frac{2}{x} \cdot \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

f (x) = \frac{1}{e ^{x}}

\frac{- 3}{x ^{2}}

(- 9, - 3), (7, - 7)

\frac{x}{x ^{2} - 1}

f (x) = \frac{x}{x ^{2} + 49}

What is the domain of 2/x*x/(x+2) ?
The domain of 2/x*x/(x+2) is x<-2\lor-2<x<0\lor x>0