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

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

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

domain

\frac{x - 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

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

\frac{x + 5}{x + 6}

f (x) = \frac{90}{x - 5}

36 x + 7

\frac{5}{4 x + 3}

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