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

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

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

domain

\frac{1}{( x ( 3 - x ^{2} ) )}

x < - 3 or - 3 < x < 0 or 0 < x < 3 or x > 3

Interval Notation

(- \infty, - 3) \cup (- 3, 0) \cup (0, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 3, x = 3

The function domain

x < - 3 or - 3 < x < 0 or 0 < x < 3 or x > 3

f (x) = \frac{( \frac{x}{x - 7} )}{( \frac{x}{x + 7} )}

f (x) = 10 \frac{1}{x}

f (x) = 2 (3^{x}) - 4

X^{3} - 2 X^{2} + X

f (x) = \frac{4 x ^{2} + 11 x - 3}{x ^{2} - 9}

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