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

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

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

domain

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

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

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