What is the domain of f(x)= 1/(x^3-5x) ?

The domain of f(x)= 1/(x^3-5x) is x sqrt(5)

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domain of f(x)= 1/(x^3-5x)

domain

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

x < - 5 or - 5 < x < 0 or 0 < x < 5 or x > 5

Interval Notation

(- \infty, - 5) \cup (- 5, 0) \cup (0, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 5, x = 5

The function domain

x < - 5 or - 5 < x < 0 or 0 < x < 5 or x > 5

2 x^{2} + 7 x + 15

\frac{x + 1}{∣ x ∣ + 1}

9 x + 20

\frac{6}{x ^{2} + 4}

f (x) = π - 2

What is the domain of f(x)= 1/(x^3-5x) ?
The domain of f(x)= 1/(x^3-5x) is x<-sqrt(5)\lor-sqrt(5)<x<0\lor 0<x<sqrt(5)\lor x>sqrt(5)