What is the domain of f(x)=(x^2-4)/(x^3) ?

The domain of f(x)=(x^2-4)/(x^3) is x 0

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

domain

f (x) = \frac{x ^{2} - 4}{x ^{3}}

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

f (x) = \frac{- 6 x}{x ^{2} - 1}

f (x) = \frac{- 2 x ^{2} + 4 x}{3 x - 6}

\frac{1}{4}

f (x) = \frac{1}{t ^{3} + 1}

- \frac{1}{x}

What is the domain of f(x)=(x^2-4)/(x^3) ?
The domain of f(x)=(x^2-4)/(x^3) is x<0\lor x>0