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

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

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

domain

\frac{2 x}{x ^{2} + 2 x}

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

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

x^{2} - 2 x + 3

x^{2} - 4 x + 4

4 x^{2} - 18 x + 6

y = \frac{x - 5}{x ^{2} - 1}

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