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} + \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) = x^{2} - 4 x + 1, x < 2

f (x) = \frac{8 x + 3}{8 - 3 x}

f (x) = 100 x

\frac{x ^{2} - 2 x + 4}{x - 1}

f (x) = x^{4} - x^{2} - 3

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