What is the domain of g(x)=(x+6)/(x^2-3x-18) ?

The domain of g(x)=(x+6)/(x^2-3x-18) is x 6

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domain of g(x)=(x+6)/(x^2-3x-18)

domain

g (x) = \frac{x + 6}{x ^{2} - 3 x - 18}

x < - 3 or - 3 < x < 6 or x > 6

Interval Notation

(- \infty, - 3) \cup (- 3, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 3

The function domain

x < - 3 or - 3 < x < 6 or x > 6

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

6 x + 4

y = \frac{- 3 x ^{2}}{x ^{2} + 4 x - 77}

4 - 7 x

24 x - 2328

What is the domain of g(x)=(x+6)/(x^2-3x-18) ?
The domain of g(x)=(x+6)/(x^2-3x-18) is x<-3\lor-3<x<6\lor x>6