What is the domain of ((x-1)(x+2))/((x+1)(x-4)) ?

The domain of ((x-1)(x+2))/((x+1)(x-4)) is x 4

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domain of ((x-1)(x+2))/((x+1)(x-4))

domain

x < - 1 or - 1 < x < 4 or x > 4

Interval Notation

(- \infty, - 1) \cup (- 1, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1, x = 4

The function domain

x < - 1 or - 1 < x < 4 or x > 4

What is the domain of ((x-1)(x+2))/((x+1)(x-4)) ?
The domain of ((x-1)(x+2))/((x+1)(x-4)) is x<-1\lor-1<x<4\lor x>4