What is the domain of f(x)=(x^2-x-12)/(x^2+x-6) ?

The domain of f(x)=(x^2-x-12)/(x^2+x-6) is x 2

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domain of f(x)=(x^2-x-12)/(x^2+x-6)

domain

f (x) = \frac{x ^{2} - x - 12}{x ^{2} + x - 6}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2, x = - 3

The function domain

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

V (x) = x (24 - 4 x) (24 - 2 x)

f (x) = \frac{3}{x + 5}

x^{2} - 8 x + 2

m = 4, (- 1, - 3)

\frac{( 4 - x )}{x ^{2} - 3 x}

What is the domain of f(x)=(x^2-x-12)/(x^2+x-6) ?
The domain of f(x)=(x^2-x-12)/(x^2+x-6) is x<-3\lor-3<x<2\lor x>2