What is the domain of x/(x^2-x-6) ?

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

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domain of x/(x^2-x-6)

domain

\frac{x}{x ^{2} - x - 6}

x < - 2 or - 2 < x < 3 or x > 3

Interval Notation

(- \infty, - 2) \cup (- 2, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 2

The function domain

x < - 2 or - 2 < x < 3 or x > 3

f (x) = 5 x^{2} - 11 x + 8

f (x) = 3 x - 2

x = y^{2} + 2

f (x) = - 64 x^{2} + 4300 x - 5140

f (x) = (x + 5)^{2} + 3

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