What is the domain of (2x-10)/(x^2-10x) ?

The domain of (2x-10)/(x^2-10x) is x 10

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domain of (2x-10)/(x^2-10x)

domain

\frac{2 x - 10}{x ^{2} - 10 x}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 10, x = 0

The function domain

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

What is the domain of (2x-10)/(x^2-10x) ?
The domain of (2x-10)/(x^2-10x) is x<0\lor 0<x<10\lor x>10