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

The domain of f(x)=(6x+8)/(x^2+4x) is x 0

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

domain

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

x < - 4 or - 4 < x < 0 or x > 0

Interval Notation

(- \infty, - 4) \cup (- 4, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 4

The function domain

x < - 4 or - 4 < x < 0 or x > 0

f (x) = \frac{14}{x ^{2} - 9 x - 36}

f (x) = 2 y - 3 x = - 8

f (x) = x^{3} - 12 x^{2} - 27 x + 3

y = - 3 (x - 1)

f (x) = - x^{2} + 4

What is the domain of f(x)=(6x+8)/(x^2+4x) ?
The domain of f(x)=(6x+8)/(x^2+4x) is x<-4\lor-4<x<0\lor x>0