What is the domain of (x^2+7x+12)/(x^2-x-20) ?

The domain of (x^2+7x+12)/(x^2-x-20) is x 5

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domain of (x^2+7x+12)/(x^2-x-20)

domain

\frac{x ^{2} + 7 x + 12}{x ^{2} - x - 20}

x < - 4 or - 4 < x < 5 or x > 5

Interval Notation

(- \infty, - 4) \cup (- 4, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 4

The function domain

x < - 4 or - 4 < x < 5 or x > 5

\frac{3 x}{x ^{2} - 25}

f (x) = x - 3 + 6

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

f (x) = 14 x + 12

\frac{1}{x ^{2}} - 2

What is the domain of (x^2+7x+12)/(x^2-x-20) ?
The domain of (x^2+7x+12)/(x^2-x-20) is x<-4\lor-4<x<5\lor x>5