What is the domain of (x^2-x-6)/(x^2-2x-3) ?

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

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domain of (x^2-x-6)/(x^2-2x-3)

domain

\frac{x ^{2} - x - 6}{x ^{2} - 2 x - 3}

x < - 1 or - 1 < x < 3 or x > 3

Interval Notation

(- \infty, - 1) \cup (- 1, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 1

The function domain

x < - 1 or - 1 < x < 3 or x > 3

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

\frac{1}{x ln ( x ^{2} - 1 )}

f (x) = 4 x - 2 ln (x)

\frac{3 - x}{x ^{2} - 1}

(1 - \frac{3}{x})^{x}

What is the domain of (x^2-x-6)/(x^2-2x-3) ?
The domain of (x^2-x-6)/(x^2-2x-3) is x<-1\lor-1<x<3\lor x>3