What is the domain of (x-1)/((x-6)(x+8)) ?

The domain of (x-1)/((x-6)(x+8)) is x 6

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domain of (x-1)/((x-6)(x+8))

domain

\frac{x - 1}{( x - 6 ) ( x + 8 )}

x < - 8 or - 8 < x < 6 or x > 6

Interval Notation

(- \infty, - 8) \cup (- 8, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 8

The function domain

x < - 8 or - 8 < x < 6 or x > 6

x^{2} + 6 x

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

\frac{x + 4}{x ^{2} + 5 x + 4}

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

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

What is the domain of (x-1)/((x-6)(x+8)) ?
The domain of (x-1)/((x-6)(x+8)) is x<-8\lor-8<x<6\lor x>6