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

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

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

domain

\frac{x ^{2}}{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

f (x) = x^{4} + 10 x^{3} + 30 x^{2} + 25 x

2 x^{2} - 4 x

x^{4} - 4 x^{3}

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

y + 2 = - \frac{1}{5} (x + 1)

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