What is the domain of g(x)= 4/(2x+8)+1 ?

The domain of g(x)= 4/(2x+8)+1 is x -4

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domain of g(x)= 4/(2x+8)+1

domain

g (x) = \frac{4}{2 x + 8} + 1

x < - 4 or x > - 4

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 4

The function domain

x < - 4 or x > - 4

\frac{x - 4}{x ^{2} + 8 x + 16}

f (x) = \frac{1}{2} x + 2

f (x) = \frac{1}{2} x - 6

g (x) = \frac{1}{x}

f (x) = 2 x - 4 + \frac{1}{x - 2}

What is the domain of g(x)= 4/(2x+8)+1 ?
The domain of g(x)= 4/(2x+8)+1 is x<-4\lor x>-4