What is the domain of (x+1/x+1)/(x+1/x+2) ?

The domain of (x+1/x+1)/(x+1/x+2) is x 0

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domain of (x+1/x+1)/(x+1/x+2)

domain

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

x - 7 + 5

2 x^{2} - 4 x - 1

- \frac{y ^{2} + 27}{6}

f (x) = \frac{x}{2 x + 16}

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