What is the domain of f(x)=(x+9)/(x^2+7x-18) ?

The domain of f(x)=(x+9)/(x^2+7x-18) is x 2

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domain of f(x)=(x+9)/(x^2+7x-18)

domain

x < - 9 or - 9 < x < 2 or x > 2

Interval Notation

(- \infty, - 9) \cup (- 9, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 9

The function domain

x < - 9 or - 9 < x < 2 or x > 2

What is the domain of f(x)=(x+9)/(x^2+7x-18) ?
The domain of f(x)=(x+9)/(x^2+7x-18) is x<-9\lor-9<x<2\lor x>2