What is the domain of (x-4)/(x^2+5x-24) ?

The domain of (x-4)/(x^2+5x-24) is x 3

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domain of (x-4)/(x^2+5x-24)

domain

\frac{x - 4}{x ^{2} + 5 x - 24}

x < - 8 or - 8 < x < 3 or x > 3

Interval Notation

(- \infty, - 8) \cup (- 8, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 8

The function domain

x < - 8 or - 8 < x < 3 or x > 3

- 5 x - 5

f (x) = \frac{8}{\frac{x}{x + 8}}

x^{2} - x - 2 + \frac{x + 1}{x ^{2} - 4}

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

What is the domain of (x-4)/(x^2+5x-24) ?
The domain of (x-4)/(x^2+5x-24) is x<-8\lor-8<x<3\lor x>3