What is the domain of (x^2+7x+12)/(-2x^2-2x+12) ?

The domain of (x^2+7x+12)/(-2x^2-2x+12) is x 2

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domain of (x^2+7x+12)/(-2x^2-2x+12)

domain

\frac{x ^{2} + 7 x + 12}{- 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 = - 3, x = 2

The function domain

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

f (x) = \frac{( 2 x - 3 )}{( x - 2 ) ( x + 3 )}

f (x) = x^{2} - 3 x

- (x + 3)^{2}

f (x) = x^{2} - 4 x - 5

f (θ) = cos (θ)

What is the domain of (x^2+7x+12)/(-2x^2-2x+12) ?
The domain of (x^2+7x+12)/(-2x^2-2x+12) is x<-3\lor-3<x<2\lor x>2