What is the domain of (x^2+2x-3)/(x^2-1) ?

The domain of (x^2+2x-3)/(x^2-1) is x 1

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domain of (x^2+2x-3)/(x^2-1)

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 1, x = - 1

The function domain

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

- 8

f (x) = \frac{x ^{2} - 8 x + 15}{x ^{2} - 7 x + 12}

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

f (x) = \frac{2 x - 3}{x - 5}

f (x) = \frac{1}{- x ^{2} + 7 x}

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