What is the domain of f(x)=(4x+8)/((x-2)(x+6)) ?

The domain of f(x)=(4x+8)/((x-2)(x+6)) is x 2

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domain of f(x)=(4x+8)/((x-2)(x+6))

domain

f (x) = \frac{4 x + 8}{( x - 2 ) ( x + 6 )}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2, x = - 6

The function domain

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

3 x + \frac{6}{x} - \frac{1}{x ^{3}}

ln ((x - 12)^{2})

∣ x + 3 ∣ ∣ x - 2 ∣

- 2 - x^{2}

y = x^{2} + x

What is the domain of f(x)=(4x+8)/((x-2)(x+6)) ?
The domain of f(x)=(4x+8)/((x-2)(x+6)) is x<-6\lor-6<x<2\lor x>2