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}) \cdot (\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

(7, 4), (9, - 1)

f (x) = 1 - x

\frac{12}{x}

7 x + 5

\frac{3 x}{x + 7}

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