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

(\frac{3}{2}, - 2), (\frac{- 1}{2}, 0)

- 2 cos (4 π x)

f (x) = 2

f (x) = 9 + \frac{6}{x}

f (x) = x^{3} + 12 x + 5

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