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

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

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

domain

\frac{x ^{2} + 3}{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) = - 2 x + 4

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

f (x) = 2^{- x} - 4

f (x) = 8 x + 2

- x^{3} + 3

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