What is the domain of y=(2x-18)/(x^2-18x) ?

The domain of y=(2x-18)/(x^2-18x) is x 18

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domain of y=(2x-18)/(x^2-18x)

domain

y = \frac{2 x - 18}{x ^{2} - 18 x}

x < 0 or 0 < x < 18 or x > 18

Interval Notation

(- \infty, 0) \cup (0, 18) \cup (18, \infty)

Solution steps

Find undefined (singularity) points:

x = 18, x = 0

The function domain

x < 0 or 0 < x < 18 or x > 18

\frac{x - 4}{x + 1}

+ \frac{4 x - 11}{x - 9}

f (x) = x^{2} - 20

ln (\frac{1}{9 - ( x + 2 ) ^{2}})

f (x) = \frac{3}{x - 6}

What is the domain of y=(2x-18)/(x^2-18x) ?
The domain of y=(2x-18)/(x^2-18x) is x<0\lor 0<x<18\lor x>18