What is the domain of g(x)= 6/(x+3)+2/(x-4) ?

The domain of g(x)= 6/(x+3)+2/(x-4) is x 4

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domain of g(x)= 6/(x+3)+2/(x-4)

domain

g (x) = \frac{6}{x + 3} + \frac{2}{x - 4}

x < - 3 or - 3 < x < 4 or x > 4

Interval Notation

(- \infty, - 3) \cup (- 3, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3, x = 4

The function domain

x < - 3 or - 3 < x < 4 or x > 4

What is the domain of g(x)= 6/(x+3)+2/(x-4) ?
The domain of g(x)= 6/(x+3)+2/(x-4) is x<-3\lor-3<x<4\lor x>4