What is the domain of (1/x)/(1/x+1) ?

The domain of (1/x)/(1/x+1) is x 0

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domain of (1/x)/(1/x+1)

domain

\frac{\frac{1}{x}}{\frac{1}{x} + 1}

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

g (x) = 4

f (x) = \frac{x + 7}{x ^{2} + 2 x}

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

f (x) = x + 1 - \frac{1}{x}

f (x) = \frac{2}{x} - 1

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