What is the domain of f(x)=(x^3-x)/(x^3+x) ?

The domain of f(x)=(x^3-x)/(x^3+x) is x 0

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domain of f(x)=(x^3-x)/(x^3+x)

domain

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

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

y = \frac{- ∣ x ∣ + 4}{x ^{2} + x}

f (x) = - 2 x^{2} - 12 x + 13

f (x) = (x^{3} - 1)

f (x) = x^{2} - 8 x + 15

What is the domain of f(x)=(x^3-x)/(x^3+x) ?
The domain of f(x)=(x^3-x)/(x^3+x) is x<0\lor x>0