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

The domain of (2x^2-3x)/(x^2-x-12) is x 4

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 4, x = - 3

The function domain

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

f (x) = \frac{4 x + 1}{x + 2}

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

f (x) = \frac{x}{4 - x ^{2}}

6 t^{2} + 500 t + 8000

f (x) = - 2 x (x - 2) (x - 5)

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