What is the domain of g(x)=((x+3))/((x^2-64)) ?

The domain of g(x)=((x+3))/((x^2-64)) is x 8

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domain of g(x)=((x+3))/((x^2-64))

domain

g (x) = \frac{( x + 3 )}{( x ^{2} - 64 )}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 8, x = - 8

The function domain

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

What is the domain of g(x)=((x+3))/((x^2-64)) ?
The domain of g(x)=((x+3))/((x^2-64)) is x<-8\lor-8<x<8\lor x>8