What is the domain of f(x)=((x^2-x-6))/(x^2-4) ?

The domain of f(x)=((x^2-x-6))/(x^2-4) is x 2

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domain of f(x)=((x^2-x-6))/(x^2-4)

domain

f (x) = \frac{( x ^{2} - x - 6 )}{x ^{2} - 4}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2

The function domain

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

f (x) = 2 x - 8 x

(5.3) (2)

x^{3} - 3 x + 3

2 y - 7 = - 3 (2 - 2 x)

- 2

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