What is the domain of f(x)=(x-7)/(x^2-1) ?

The domain of f(x)=(x-7)/(x^2-1) is x 1

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domain of f(x)=(x-7)/(x^2-1)

domain

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

1 + 8

y = \frac{x ^{4} + x ^{2} + 8}{x ^{3} - 8 x}

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

f (x) = ln (13 x)

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

What is the domain of f(x)=(x-7)/(x^2-1) ?
The domain of f(x)=(x-7)/(x^2-1) is x<-1\lor-1<x<1\lor x>1