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

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

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domain of y=(2x)/((x-2)(x+1))

domain

y = \frac{2 x}{( x - 2 ) ( x + 1 )}

x < - 1 or - 1 < x < 2 or x > 2

Interval Notation

(- \infty, - 1) \cup (- 1, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 1

The function domain

x < - 1 or - 1 < x < 2 or x > 2

f (x) = - x + 2 - 3

10 x + 200

f (x) = - 4 x - 10

3 x - 1

f (x) = 8 x + 9

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