What is the domain of f(x)=(x-5)/(x^3-x^2-2x) ?

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

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domain of f(x)=(x-5)/(x^3-x^2-2x)

domain

f (x) = \frac{x - 5}{x ^{3} - x ^{2} - 2 x}

x < - 1 or - 1 < x < 0 or 0 < x < 2 or x > 2

Interval Notation

(- \infty, - 1) \cup (- 1, 0) \cup (0, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 1, x = 2

The function domain

x < - 1 or - 1 < x < 0 or 0 < x < 2 or x > 2

\frac{( 5 - 2 x ) 2 x + 3}{2 + x}

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

2 x - 9

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

f (x) = \frac{5 x + 14}{6 x ^{2} + x - 2}

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