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

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

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

domain

y = \frac{3 x ^{2} - 3 x}{x ^{2} + x - 12}

x < - 4 or - 4 < x < 3 or x > 3

Interval Notation

(- \infty, - 4) \cup (- 4, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 4

The function domain

x < - 4 or - 4 < x < 3 or x > 3

\frac{- 7}{2 x ^{\frac{3}{2}}}

f (x) = 9 x - 7 x^{2}

f (x) = 3 sin (\frac{6 x}{7} + 2 π)

\frac{x + 6}{x - 5}

x + 1

What is the domain of y=(3x^2-3x)/(x^2+x-12) ?
The domain of y=(3x^2-3x)/(x^2+x-12) is x<-4\lor-4<x<3\lor x>3