What is the domain of x/(x^2+6x+8) ?

The domain of x/(x^2+6x+8) is x -2

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domain of x/(x^2+6x+8)

domain

\frac{x}{x ^{2} + 6 x + 8}

x < - 4 or - 4 < x < - 2 or x > - 2

Interval Notation

(- \infty, - 4) \cup (- 4, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = - 4

The function domain

x < - 4 or - 4 < x < - 2 or x > - 2

f (x) = x^{2} + x - 6

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

f (x) = 3 sin (π x)

2 - 7 x + 3

f (x) = x^{2} - 10 x

What is the domain of x/(x^2+6x+8) ?
The domain of x/(x^2+6x+8) is x<-4\lor-4<x<-2\lor x>-2