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

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

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

domain

\frac{2 ( x + 2 ) + x ^{2}}{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^{3} - 7 x^{2} + 2

f (x) = x^{2} + 5

y^{4} = x^{3} + 6

f (x) = x + 1

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