What is the domain of (2x^2-2x-4)/(x^2+x-12) ?

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

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domain of (2x^2-2x-4)/(x^2+x-12)

domain

\frac{2 x ^{2} - 2 x - 4}{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

f (x) = - 4 - 2 x + 1 - 2

\frac{3 x ^{2} - 9}{x - 1}

f (x) = ∣ x + 2 ∣ - 1, - 4 < x < 0

f (x) = 4 x + 7

y = \frac{4}{x - 2}

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