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

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

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

domain

f (x) = \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

m = 2, (3, - 4)

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

y = x + 5

y = 2 x - 5

y = \frac{5 ( x - 7 )}{6} + 5

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