What is the domain of f(x)=(x+5)/(x^3-12x^2+20x) ?

The domain of f(x)=(x+5)/(x^3-12x^2+20x) is x 10

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domain of f(x)=(x+5)/(x^3-12x^2+20x)

domain

f (x) = \frac{x + 5}{x ^{3} - 12 x ^{2} + 20 x}

x < 0 or 0 < x < 2 or 2 < x < 10 or x > 10

Interval Notation

(- \infty, 0) \cup (0, 2) \cup (2, 10) \cup (10, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = 2, x = 10

The function domain

x < 0 or 0 < x < 2 or 2 < x < 10 or x > 10

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

e^{x - 3} + 3

f (x) = \frac{4 ^{x}}{4}

f (x) = \frac{8}{( x - 1 ) ( x + 2 )}

What is the domain of f(x)=(x+5)/(x^3-12x^2+20x) ?
The domain of f(x)=(x+5)/(x^3-12x^2+20x) is x<0\lor 0<x<2\lor 2<x<10\lor x>10