What is the domain of (x^2-3x+2)/(x^2+7x+12) ?

The domain of (x^2-3x+2)/(x^2+7x+12) is x -3

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domain of (x^2-3x+2)/(x^2+7x+12)

domain

\frac{x ^{2} - 3 x + 2}{x ^{2} + 7 x + 12}

x < - 4 or - 4 < x < - 3 or x > - 3

Interval Notation

(- \infty, - 4) \cup (- 4, - 3) \cup (- 3, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3, x = - 4

The function domain

x < - 4 or - 4 < x < - 3 or x > - 3

f (x) = \frac{4}{5} x + 2

f (x) = lo g_{10} (1 - x^{2})

9 x - 5

d (y) = y + 3

y = 3 x - 8

What is the domain of (x^2-3x+2)/(x^2+7x+12) ?
The domain of (x^2-3x+2)/(x^2+7x+12) is x<-4\lor-4<x<-3\lor x>-3