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

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

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

domain

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

f (x) = lo g_{10} (\frac{3 + x}{3 - x})

\frac{1}{x ( x ^{2} - 49 )}

\frac{2 x ^{2} - 7 x - 16}{( x + 4 ) ( x - 4 ) ( x - 7 )}

y = \frac{8 x + 5}{2 - 5 x}

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