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

The domain of f(x)=(2x-12)/(x^2-12x) is x 12

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domain of f(x)=(2x-12)/(x^2-12x)

domain

f (x) = \frac{2 x - 12}{x ^{2} - 12 x}

x < 0 or 0 < x < 12 or x > 12

Interval Notation

(- \infty, 0) \cup (0, 12) \cup (12, \infty)

Solution steps

Find undefined (singularity) points:

x = 12, x = 0

The function domain

x < 0 or 0 < x < 12 or x > 12

f (x) = \frac{x + 1}{x - 7}

f (x) = 2 x^{2} + 2

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

x^{2} - 6 x + 10

x^{3} + 7 x^{2} + 8 x - 16

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