What is the domain of f(x)=(\sqrt[3]{3x+5})/(x^3+x) ?

The domain of f(x)=(\sqrt[3]{3x+5})/(x^3+x) is x 0

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domain of f(x)=(\sqrt[3]{3x+5})/(x^3+x)

domain

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 = (x - 5)^{2}

f (x) = \frac{x ^{2} - 2 x - 24}{x ^{2} - 64}

f (x) = \frac{1}{x} - x

\frac{1}{a - 2}

y = \frac{2}{3} x + 3

What is the domain of f(x)=(\sqrt[3]{3x+5})/(x^3+x) ?
The domain of f(x)=(\sqrt[3]{3x+5})/(x^3+x) is x<0\lor x>0