What is the domain of g(x)=(3-x)/(x^2-2x-24) ?

The domain of g(x)=(3-x)/(x^2-2x-24) is x 6

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domain of g(x)=(3-x)/(x^2-2x-24)

domain

g (x) = \frac{3 - x}{x ^{2} - 2 x - 24}

x < - 4 or - 4 < x < 6 or x > 6

Interval Notation

(- \infty, - 4) \cup (- 4, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 4

The function domain

x < - 4 or - 4 < x < 6 or x > 6

What is the domain of g(x)=(3-x)/(x^2-2x-24) ?
The domain of g(x)=(3-x)/(x^2-2x-24) is x<-4\lor-4<x<6\lor x>6