What is the domain of y=(x^3)/(x^4-1) ?

The domain of y=(x^3)/(x^4-1) is x 1

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domain of y=(x^3)/(x^4-1)

domain

y = \frac{x ^{3}}{x ^{4} - 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) = 6 x

y = x - 2

f (x) = - 4^{(1 - x)} - 5

lo g_{2} (x - 4)

f (x) = \frac{7}{x ( x - 4 )}

What is the domain of y=(x^3)/(x^4-1) ?
The domain of y=(x^3)/(x^4-1) is x<-1\lor-1<x<1\lor x>1