What is the domain of x/(x^2+10x+24) ?

The domain of x/(x^2+10x+24) is x -4

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domain of x/(x^2+10x+24)

domain

\frac{x}{x ^{2} + 10 x + 24}

x < - 6 or - 6 < x < - 4 or x > - 4

Interval Notation

(- \infty, - 6) \cup (- 6, - 4) \cup (- 4, \infty)

Solution steps

Find undefined (singularity) points:

x = - 4, x = - 6

The function domain

x < - 6 or - 6 < x < - 4 or x > - 4

y = - 2 x + 8

f (x) = 2 x^{2} + 8 x + 2

f (x) = \frac{x - 5}{x - 11}

(4.2) (- 1.7)

\frac{x + 4}{x ^{3} - 4 x}

What is the domain of x/(x^2+10x+24) ?
The domain of x/(x^2+10x+24) is x<-6\lor-6<x<-4\lor x>-4