What is the domain of (x+2)/((3x^2-4x-4)) ?

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

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

domain

\frac{x + 2}{( 3 x ^{2} - 4 x - 4 )}

x < - \frac{2}{3} or - \frac{2}{3} < x < 2 or x > 2

Interval Notation

(- \infty, - \frac{2}{3}) \cup (- \frac{2}{3}, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - \frac{2}{3}

The function domain

x < - \frac{2}{3} or - \frac{2}{3} < x < 2 or x > 2

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