What is the domain of r(x)=(x+22)/(x^2+10x+16) ?

The domain of r(x)=(x+22)/(x^2+10x+16) is x -2

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domain of r(x)=(x+22)/(x^2+10x+16)

domain

x < - 8 or - 8 < x < - 2 or x > - 2

Interval Notation

(- \infty, - 8) \cup (- 8, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = - 8

The function domain

x < - 8 or - 8 < x < - 2 or x > - 2

What is the domain of r(x)=(x+22)/(x^2+10x+16) ?
The domain of r(x)=(x+22)/(x^2+10x+16) is x<-8\lor-8<x<-2\lor x>-2