What is the domain of (5x^3)/(x^3+2x^2+5x) ?

The domain of (5x^3)/(x^3+2x^2+5x) is x 0

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domain of (5x^3)/(x^3+2x^2+5x)

domain

\frac{5 x ^{3}}{x ^{3} + 2 x ^{2} + 5 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

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

5 x^{3} - 15 x

f (x) = x^{2} - 4 x

f (x) = 5 x - 1

f (x) = \frac{2 x - 1}{2 x + 9}

What is the domain of (5x^3)/(x^3+2x^2+5x) ?
The domain of (5x^3)/(x^3+2x^2+5x) is x<0\lor x>0