What is the domain of (x^2+4x+6)/(3x^2+12x+12) ?

The domain of (x^2+4x+6)/(3x^2+12x+12) is x -2

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domain of (x^2+4x+6)/(3x^2+12x+12)

domain

\frac{x ^{2} + 4 x + 6}{3 x ^{2} + 12 x + 12}

x < - 2 or x > - 2

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 2

The function domain

x < - 2 or x > - 2

What is the domain of (x^2+4x+6)/(3x^2+12x+12) ?
The domain of (x^2+4x+6)/(3x^2+12x+12) is x<-2\lor x>-2