What is the domain of f(x)=(x-7)/(x^2-4x-12) ?

The domain of f(x)=(x-7)/(x^2-4x-12) is x 6

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domain of f(x)=(x-7)/(x^2-4x-12)

domain

f (x) = \frac{x - 7}{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) = \frac{x - 1}{x + 6 - 1}

+ \frac{5 x + 10}{- 2 x ^{2} - 6 x - 4}

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

f (x) = x \neq = \frac{π}{4} \pm n \frac{π}{2}

f (x) = 4 e^{- x}

What is the domain of f(x)=(x-7)/(x^2-4x-12) ?
The domain of f(x)=(x-7)/(x^2-4x-12) is x<-2\lor-2<x<6\lor x>6