What is the domain of y=(x^2-x-6)/(x^2+3x+2) ?

The domain of y=(x^2-x-6)/(x^2+3x+2) is x -1

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domain of y=(x^2-x-6)/(x^2+3x+2)

domain

y = \frac{x ^{2} - x - 6}{x ^{2} + 3 x + 2}

x < - 2 or - 2 < x < - 1 or x > - 1

Interval Notation

(- \infty, - 2) \cup (- 2, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1, x = - 2

The function domain

x < - 2 or - 2 < x < - 1 or x > - 1

- \frac{1}{x - 6}

f (x) = \frac{5 x}{x + 9}

f (x) = 20 x - 33

f (x) = 3^{2 - x} - 1

x^{2} + 16 x + 63

What is the domain of y=(x^2-x-6)/(x^2+3x+2) ?
The domain of y=(x^2-x-6)/(x^2+3x+2) is x<-2\lor-2<x<-1\lor x>-1