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

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

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domain of f(x)=(x-3)/(x^2-1)

domain

f (x) = \frac{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

(x^{2} - 9)^{6}

(5, - 1), (- 5, - 3)

f (x) = - x^{2} + 20 x - 25 + 10

g (t) = \frac{7}{t}

(- 4, - 8), (8, 10)

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