What is the domain of ((x-2)(x-3))/((x+2)(x-6)) ?

The domain of ((x-2)(x-3))/((x+2)(x-6)) is x 6

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domain of ((x-2)(x-3))/((x+2)(x-6))

domain

\frac{( x - 2 ) ( x - 3 )}{( x + 2 ) ( x - 6 )}

x < - 2 or - 2 < x < 6 or x > 6

Interval Notation

(- \infty, - 2) \cup (- 2, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = 6

The function domain

x < - 2 or - 2 < x < 6 or x > 6

\frac{1}{3 x - 9}

\frac{x + 4}{x ^{2} - 5 x + 6}

f (x) = \frac{x ^{2} - 4 + 1}{x - 2}

f (x) = \frac{x ^{2} + 7 x + 10}{x ^{2} - x - 12}

f (x) = - 2

What is the domain of ((x-2)(x-3))/((x+2)(x-6)) ?
The domain of ((x-2)(x-3))/((x+2)(x-6)) is x<-2\lor-2<x<6\lor x>6