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

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

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domain of f(x)=(2x)/((x+2)(x-3))

domain

f (x) = \frac{2 x}{( x + 2 ) ( x - 3 )}

x < - 2 or - 2 < x < 3 or x > 3

Interval Notation

(- \infty, - 2) \cup (- 2, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = 3

The function domain

x < - 2 or - 2 < x < 3 or x > 3

f (x) = x - 3 + 4

\frac{5 - x}{x}

y = lo g_{2} (x) + 5

\frac{3}{x}

f (x) = \frac{x - 6}{x ^{2} - 7 x + 6}

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