What is the domain of f(x)=(x^2-x-2)/(x^4-81) ?

The domain of f(x)=(x^2-x-2)/(x^4-81) is x 3

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domain of f(x)=(x^2-x-2)/(x^4-81)

domain

f (x) = \frac{x ^{2} - x - 2}{x ^{4} - 81}

x < - 3 or - 3 < x < 3 or x > 3

Interval Notation

(- \infty, - 3) \cup (- 3, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 3

The function domain

x < - 3 or - 3 < x < 3 or x > 3

f (x) = - 84 x - 2

4 x - \frac{4}{3}

sin (3 x - \frac{π}{4})

f (x) = f (x) = 7 + ln (3 x + 1)

y = \frac{- 3 x - 8}{- 8 x - 20}

What is the domain of f(x)=(x^2-x-2)/(x^4-81) ?
The domain of f(x)=(x^2-x-2)/(x^4-81) is x<-3\lor-3<x<3\lor x>3