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

The domain of (x^2-2x-8)/(x^2+x-2) is x 1

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

domain

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

x < - 2 or - 2 < x < 1 or x > 1

Interval Notation

(- \infty, - 2) \cup (- 2, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 2

The function domain

x < - 2 or - 2 < x < 1 or x > 1

f (x) = \frac{6 x - 9}{x + 5}

x + 6 - 9

f (x) = \frac{3 ( x + 7 ) ( x - 2 )}{( x - 3 )}

\frac{∣ x ∣}{2 - x ^{2}}

f (x) = \frac{8}{x + 10}

What is the domain of (x^2-2x-8)/(x^2+x-2) ?
The domain of (x^2-2x-8)/(x^2+x-2) is x<-2\lor-2<x<1\lor x>1