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

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

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2, x = 0

The function domain

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

in t erce pt s 4 x^{2} - x - 3

r an g e f (t) = (16 - t)^{\frac{1}{6}}

in v erse f (x) = 7 - 5 x^{3}

a sy m pt o t es f (x) = \frac{3}{x + 1} - 2

r an g e 3 x - 4

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