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

The domain of (x^2+x-2)/(x^2-x-6) is x 3

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

domain

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

x < - 2 or - 2 < x < 3 or x > 3

Interval Notation

(- \infty, - 2) \cup (- 2, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 2

The function domain

x < - 2 or - 2 < x < 3 or x > 3

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

f (x) = lo g_{10} (5 x - 8)

f (x) = \frac{x + 8}{7 x ^{2} - x - 8}

- 4^{(1 - x)} + 5

ln (x - 2) + 3

What is the domain of (x^2+x-2)/(x^2-x-6) ?
The domain of (x^2+x-2)/(x^2-x-6) is x<-2\lor-2<x<3\lor x>3