What is the domain of f(x)= 1/((x^3-2x^2-15x)) ?

The domain of f(x)= 1/((x^3-2x^2-15x)) is x 5

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domain of f(x)= 1/((x^3-2x^2-15x))

domain

f (x) = \frac{1}{( x ^{3} - 2 x ^{2} - 15 x )}

x < - 3 or - 3 < x < 0 or 0 < x < 5 or x > 5

Interval Notation

(- \infty, - 3) \cup (- 3, 0) \cup (0, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 3, x = 5

The function domain

x < - 3 or - 3 < x < 0 or 0 < x < 5 or x > 5

f (x) = - \frac{1}{2} x + 3, x \geq - 3

8 x + 4 y = 12

cos (x + \frac{3 π}{2})

x^{3} - 3 x^{2} + 3 x - 1

f (x) = \frac{3 x}{x - 2} - 11

What is the domain of f(x)= 1/((x^3-2x^2-15x)) ?
The domain of f(x)= 1/((x^3-2x^2-15x)) is x<-3\lor-3<x<0\lor 0<x<5\lor x>5