What is the domain of f(x)=(x+8)/(x^2-1) ?

The domain of f(x)=(x+8)/(x^2-1) is x 1

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domain of f(x)=(x+8)/(x^2-1)

domain

f (x) = \frac{x + 8}{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

y = 2 x^{2} - 1

\frac{4 x ^{2} + 1}{2 x}

\frac{x - 8}{2 x ^{2}}

f (x) = 2 + \frac{x ^{2}}{x ^{4} + 1}

2 x^{3} + 6 x^{2} + 3

What is the domain of f(x)=(x+8)/(x^2-1) ?
The domain of f(x)=(x+8)/(x^2-1) is x<-1\lor-1<x<1\lor x>1