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

m = \frac{8}{3}, (13, 5)

f (x) = x^{3} - 11 x^{2} + 24 x

\frac{x}{6 x + 25}

f (x) = \frac{( x - 6 )}{x + 6}

f (x) = \frac{( x - 8 )}{( x + 6 )}

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