What is the domain of (6x-12)/((x-6)(x+1)) ?

The domain of (6x-12)/((x-6)(x+1)) is x 6

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domain of (6x-12)/((x-6)(x+1))

domain

\frac{6 x - 12}{( x - 6 ) ( x + 1 )}

x < - 1 or - 1 < x < 6 or x > 6

Interval Notation

(- \infty, - 1) \cup (- 1, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 1

The function domain

x < - 1 or - 1 < x < 6 or x > 6

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

f (x) = x^{2} - 8 x + 4

x^{2} - 3 x - x^{2} - 2 x - 6

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

x - 4

What is the domain of (6x-12)/((x-6)(x+1)) ?
The domain of (6x-12)/((x-6)(x+1)) is x<-1\lor-1<x<6\lor x>6