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

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

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

domain

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

x < - 3 or - 3 < x < 2 or x > 2

Interval Notation

(- \infty, - 3) \cup (- 3, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 3

The function domain

x < - 3 or - 3 < x < 2 or x > 2

(8, 10), (- 2, - 14)

f (x) = x^{3} - 5 x + 7

(x - 4)^{2}

f (x) = \frac{1}{4 x} + 3

\frac{1}{4} cos (x)

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