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

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

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domain of (-6x^2)/((x-8)(x+2))

domain

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

x < - 2 or - 2 < x < 8 or x > 8

Interval Notation

(- \infty, - 2) \cup (- 2, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = - 2

The function domain

x < - 2 or - 2 < x < 8 or x > 8

f (x) = x^{3} + x

f (x) = \frac{9 x - 4}{2 - x}

\frac{1}{2 ( 2 x + 4 ) + 4}

(- 2, - 3), (- 7, - 2)

f (x) = \frac{x + 4}{x - 5}

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