What is the domain of (x^2-2x-8)/(x^2-25) ?

The domain of (x^2-2x-8)/(x^2-25) is x 5

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domain of (x^2-2x-8)/(x^2-25)

domain

\frac{x ^{2} - 2 x - 8}{x ^{2} - 25}

x < - 5 or - 5 < x < 5 or x > 5

Interval Notation

(- \infty, - 5) \cup (- 5, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 5

The function domain

x < - 5 or - 5 < x < 5 or x > 5

x^{2} + x - 10

f (x) = \frac{4 x - 1}{x - 2}

\frac{3 x}{x + 3}

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

\frac{x + 3}{x ^{3} + 27}

What is the domain of (x^2-2x-8)/(x^2-25) ?
The domain of (x^2-2x-8)/(x^2-25) is x<-5\lor-5<x<5\lor x>5