What is the domain of (3x^3-6x^2)/(x-2) ?

The domain of (3x^3-6x^2)/(x-2) is x 2

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domain of (3x^3-6x^2)/(x-2)

domain

\frac{3 x ^{3} - 6 x ^{2}}{x - 2}

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

f (x) = 2 4 - y

f (x) = x^{3} - 4 x + 8

f (x) = - \frac{1}{2} (x + 6)^{2} + 8

f (x) = x^{3} + 10

y = - 3 x

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