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

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

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domain of f(x)=(x+9)/(x^2+10x+9)

domain

f (x) = \frac{x + 9}{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

16 - x^{2} - x + 3

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

\frac{x ^{3} - 2 x ^{2} - 3 x}{x - 3}

f (x) = \frac{3 x - 12}{x ^{2} - 3 x - 4}

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

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