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

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

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

domain

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

x < - 4 or - 4 < x < - 2 or x > - 2

Interval Notation

(- \infty, - 4) \cup (- 4, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = - 4

The function domain

x < - 4 or - 4 < x < - 2 or x > - 2

f (x) = \frac{x + 3}{x - 4}

f (x) = (\frac{2 x ^{2} - 6 x + 4}{- 3 x - 5})

f (x) = e^{- 2 x} - 3

14 - x

arcsin (ln (x))

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