What is the domain of 1/(x^2+10x+9) ?

The domain of 1/(x^2+10x+9) is x -1

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domain of 1/(x^2+10x+9)

domain

\frac{1}{x ^{2} + 10 x + 9}

x < - 9 or - 9 < x < - 1 or x > - 1

Interval Notation

(- \infty, - 9) \cup (- 9, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1, x = - 9

The function domain

x < - 9 or - 9 < x < - 1 or x > - 1

12 x (x + 1) (x - 1)

f (x) = \frac{- x ^{2} + 3 x - 2}{2 x - 4}

f (x) = 20 x + 27

g (x) = \frac{x ^{2} - 9}{x ^{2} - 2 x - 8}

What is the domain of 1/(x^2+10x+9) ?
The domain of 1/(x^2+10x+9) is x<-9\lor-9<x<-1\lor x>-1