What is the domain of f(x)=(3x)/((x-6)(x+4)) ?

The domain of f(x)=(3x)/((x-6)(x+4)) is x 6

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domain of f(x)=(3x)/((x-6)(x+4))

domain

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

x < - 4 or - 4 < x < 6 or x > 6

Interval Notation

(- \infty, - 4) \cup (- 4, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 4

The function domain

x < - 4 or - 4 < x < 6 or x > 6

f (x) = 0

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

f (x) = x^{3} - 27 x + 8

8 x + 6 y = - 2

f (x) = 7 x^{3} + 10 x^{2}

What is the domain of f(x)=(3x)/((x-6)(x+4)) ?
The domain of f(x)=(3x)/((x-6)(x+4)) is x<-4\lor-4<x<6\lor x>6