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

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

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

domain

f (x) = \frac{\frac{2}{x}}{\frac{2}{x} + 2}

x < - 1 or - 1 < x < 0 or x > 0

Interval Notation

(- \infty, - 1) \cup (- 1, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1, x = 0

The function domain

x < - 1 or - 1 < x < 0 or x > 0

r an g e f (x) = x^{2} - x

in v erse y = lo g_{7} (2 x - 5) + 9

in v erse \frac{- 3 x - 3}{x - 1}

r an g e f (x) = \frac{x}{- 8 x + 3}

d o main F (t) = \frac{t}{∣ t ∣}

What is the domain of f(x)=(2/x)/(2/x+2) ?
The domain of f(x)=(2/x)/(2/x+2) is x<-1\lor-1<x<0\lor x>0