What is the domain of f(x)=(x-5)/(x^3+6x) ?

The domain of f(x)=(x-5)/(x^3+6x) is x 0

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domain of f(x)=(x-5)/(x^3+6x)

domain

f (x) = \frac{x - 5}{x ^{3} + 6 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{3}{x - 1}

1 - cos (x)

y = - 4 x - 1

f (x) = - 2 x^{5} - 2

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

What is the domain of f(x)=(x-5)/(x^3+6x) ?
The domain of f(x)=(x-5)/(x^3+6x) is x<0\lor x>0