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

The domain of f(x)=((x+1))/(x^2-4x-12) is x 6

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

domain

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

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 6, x = - 2

The function domain

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

f (x) = - x + 4

\frac{( x + 3 )}{( x - 2 )}

\frac{x - 7}{x - 1}

5 x^{2} + 8

y = x + 3 - 4

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