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

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

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domain of g(x)=(3x)/(x+6)

domain

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

x < - 6 or x > - 6

Interval Notation

(- \infty, - 6) \cup (- 6, \infty)

Solution steps

Find undefined (singularity) points:

x = - 6

The function domain

x < - 6 or x > - 6

f (x) = \frac{1}{( x ^{3} - 3 x ^{2} - 6 x - 8 )}

f (x) = 2 - 3 x

x^{2} - 15 x - 6

f (x) = \frac{4 x - 3}{x ^{2} - 4}

f (x) = 3 - x - \frac{2}{x}

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