What is the domain of f(x)=(x^2+16)/(x(3x-6)) ?

The domain of f(x)=(x^2+16)/(x(3x-6)) is x 2

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domain of f(x)=(x^2+16)/(x(3x-6))

domain

f (x) = \frac{x ^{2} + 16}{x ( 3 x - 6 )}

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 = 0, x = 2

The function domain

x < 0 or 0 < x < 2 or x > 2

What is the domain of f(x)=(x^2+16)/(x(3x-6)) ?
The domain of f(x)=(x^2+16)/(x(3x-6)) is x<0\lor 0<x<2\lor x>2