What is the domain of f(x)=(3x+2)/((x+6)(x-9)) ?

The domain of f(x)=(3x+2)/((x+6)(x-9)) is x 9

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domain of f(x)=(3x+2)/((x+6)(x-9))

domain

f (x) = \frac{3 x + 2}{( x + 6 ) ( x - 9 )}

x < - 6 or - 6 < x < 9 or x > 9

Interval Notation

(- \infty, - 6) \cup (- 6, 9) \cup (9, \infty)

Solution steps

Find undefined (singularity) points:

x = - 6, x = 9

The function domain

x < - 6 or - 6 < x < 9 or x > 9

f (x) = 16 - x^{2} + 3 - x

f (x) = \frac{x ^{2} - 3 x - 4}{- x + 5}

\frac{x}{x + 1}

y = \frac{1}{9 - x ^{2}}

f (x) = \frac{4}{3 - x}

What is the domain of f(x)=(3x+2)/((x+6)(x-9)) ?
The domain of f(x)=(3x+2)/((x+6)(x-9)) is x<-6\lor-6<x<9\lor x>9