What is the domain of (2x^2+10x+12)/(x^2+2x-3) ?

The domain of (2x^2+10x+12)/(x^2+2x-3) is x 1

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domain of (2x^2+10x+12)/(x^2+2x-3)

domain

\frac{2 x ^{2} + 10 x + 12}{x ^{2} + 2 x - 3}

x < - 3 or - 3 < x < 1 or x > 1

Interval Notation

(- \infty, - 3) \cup (- 3, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 3

The function domain

x < - 3 or - 3 < x < 1 or x > 1

What is the domain of (2x^2+10x+12)/(x^2+2x-3) ?
The domain of (2x^2+10x+12)/(x^2+2x-3) is x<-3\lor-3<x<1\lor x>1