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

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

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

domain

y = \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

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