What is the domain of (3x^2+5x-12)/(x^3-3x^2) ?

The domain of (3x^2+5x-12)/(x^3-3x^2) is x 3

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domain of (3x^2+5x-12)/(x^3-3x^2)

domain

\frac{3 x ^{2} + 5 x - 12}{x ^{3} - 3 x ^{2}}

x < 0 or 0 < x < 3 or x > 3

Interval Notation

(- \infty, 0) \cup (0, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = 3

The function domain

x < 0 or 0 < x < 3 or x > 3

What is the domain of (3x^2+5x-12)/(x^3-3x^2) ?
The domain of (3x^2+5x-12)/(x^3-3x^2) is x<0\lor 0<x<3\lor x>3