What is the domain of f(x)=(3x)/((x-2)(x+7)) ?

The domain of f(x)=(3x)/((x-2)(x+7)) is x 2

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domain of f(x)=(3x)/((x-2)(x+7))

domain

f (x) = \frac{3 x}{( x - 2 ) ( x + 7 )}

x < - 7 or - 7 < x < 2 or x > 2

Interval Notation

(- \infty, - 7) \cup (- 7, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 7

The function domain

x < - 7 or - 7 < x < 2 or x > 2

\frac{- 2 x - 1}{x + 5}

4 x

f (x) = 2 (x - 1)^{\frac{5}{2}}

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

\frac{2}{x - 4} - 3

What is the domain of f(x)=(3x)/((x-2)(x+7)) ?
The domain of f(x)=(3x)/((x-2)(x+7)) is x<-7\lor-7<x<2\lor x>2