What is the domain of f(x)= 1/(x^2+4x-12) ?

The domain of f(x)= 1/(x^2+4x-12) is x 2

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domain of f(x)= 1/(x^2+4x-12)

domain

f (x) = \frac{1}{x ^{2} + 4 x - 12}

x < - 6 or - 6 < x < 2 or x > 2

Interval Notation

(- \infty, - 6) \cup (- 6, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 6

The function domain

x < - 6 or - 6 < x < 2 or x > 2

What is the domain of f(x)= 1/(x^2+4x-12) ?
The domain of f(x)= 1/(x^2+4x-12) is x<-6\lor-6<x<2\lor x>2