What is the domain of 1/(2x^3-4x) ?

The domain of 1/(2x^3-4x) is x sqrt(2)

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domain of 1/(2x^3-4x)

domain

\frac{1}{2 x ^{3} - 4 x}

x < - 2 or - 2 < x < 0 or 0 < x < 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 2, 0) \cup (0, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 2, x = 2

The function domain

x < - 2 or - 2 < x < 0 or 0 < x < 2 or x > 2

\frac{5 x - 2}{x + 9}

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

f (x) = \frac{x ^{2} - x}{x ^{2} - 9 x + 8}

3^{x}

f (x) = sin (\frac{π}{2} x)

What is the domain of 1/(2x^3-4x) ?
The domain of 1/(2x^3-4x) is x<-sqrt(2)\lor-sqrt(2)<x<0\lor 0<x<sqrt(2)\lor x>sqrt(2)