What is the domain of (x+6)/(x^2+3x-18) ?

The domain of (x+6)/(x^2+3x-18) is x 3

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domain of (x+6)/(x^2+3x-18)

domain

\frac{x + 6}{x ^{2} + 3 x - 18}

x < - 6 or - 6 < x < 3 or x > 3

Interval Notation

(- \infty, - 6) \cup (- 6, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 6

The function domain

x < - 6 or - 6 < x < 3 or x > 3

What is the domain of (x+6)/(x^2+3x-18) ?
The domain of (x+6)/(x^2+3x-18) is x<-6\lor-6<x<3\lor x>3