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

The domain of f(x)= 2/x+x/(x+2) is x 0

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domain of f(x)= 2/x+x/(x+2)

domain

f (x) = \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^{4} + 6 (x)^{2} - 1

(0, 3), (- 1, 0)

f (x) = x^{3} + 5

y = 2 x^{2} + 24 x - 6

f (x) = x + 2

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