What is the domain of f(x)=(2x-6)/(x^2-6x) ?

The domain of f(x)=(2x-6)/(x^2-6x) is x 6

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domain of f(x)=(2x-6)/(x^2-6x)

domain

f (x) = \frac{2 x - 6}{x ^{2} - 6 x}

x < 0 or 0 < x < 6 or x > 6

Interval Notation

(- \infty, 0) \cup (0, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = 0

The function domain

x < 0 or 0 < x < 6 or x > 6

x - x^{3}

arcsin (- 4 x + 8)

f (x) = 3 + ln (x)

y = x^{2} - 6 x + 5

What is the domain of f(x)=(2x-6)/(x^2-6x) ?
The domain of f(x)=(2x-6)/(x^2-6x) is x<0\lor 0<x<6\lor x>6