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

The domain of (x+2)/(x^2+x-12) is x 3

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domain of (x+2)/(x^2+x-12)

domain

\frac{x + 2}{x ^{2} + x - 12}

x < - 4 or - 4 < x < 3 or x > 3

Interval Notation

(- \infty, - 4) \cup (- 4, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 4

The function domain

x < - 4 or - 4 < x < 3 or x > 3

f (x) = 2^{- 2} (x + 3)^{2} (x - 1)^{2}

f (x) = \frac{7}{2} (4)^{x + 4} + 3

lo g_{4} (x - 3)

\frac{- 6}{x ^{2} - 4}

\frac{x}{7 x - 3}

What is the domain of (x+2)/(x^2+x-12) ?
The domain of (x+2)/(x^2+x-12) is x<-4\lor-4<x<3\lor x>3