What is the domain of (x-1)/(x^2-x-6) ?

The domain of (x-1)/(x^2-x-6) is x 3

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domain of (x-1)/(x^2-x-6)

domain

\frac{x - 1}{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

2^{x - 4}

f (a) = a

f (x) = x^{2} - 2 x - 1

f (x) = x^{4} - 4 x^{3} + 7

- 4 cos (3 x + \frac{π}{6}) + 1

What is the domain of (x-1)/(x^2-x-6) ?
The domain of (x-1)/(x^2-x-6) is x<-2\lor-2<x<3\lor x>3