What is the domain of (x+1/x+8)/(x+1/x+2) ?

The domain of (x+1/x+8)/(x+1/x+2) is x 0

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domain of (x+1/x+8)/(x+1/x+2)

domain

\frac{x + \frac{1}{x} + 8}{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

y = x^{2} - 3

f (x) = x 1 - x^{2}

x + 1 - x

y = - 7 x + 8

f (x) = - \frac{1}{4} x - 2

What is the domain of (x+1/x+8)/(x+1/x+2) ?
The domain of (x+1/x+8)/(x+1/x+2) is x<-1\lor-1<x<0\lor x>0