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

f (x) = \frac{- 3 x + 7}{5 x - 2}

- x^{2} - 4 x + 2

f (x) = \frac{( 6 x - 5 )}{x + 9}

3 n^{2} + 1

sin (7 x)

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