What is the domain of (6x)/((x-5)(x-9)) ?

The domain of (6x)/((x-5)(x-9)) is x 9

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domain of (6x)/((x-5)(x-9))

domain

\frac{6 x}{( x - 5 ) ( x - 9 )}

x < 5 or 5 < x < 9 or x > 9

Interval Notation

(- \infty, 5) \cup (5, 9) \cup (9, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = 9

The function domain

x < 5 or 5 < x < 9 or x > 9

f (x) = 5^{x} - 3

f (x) = \frac{1}{x - 4}

\frac{x ^{2} + 5 x + 6}{x + 3}

x - 2 - 2

2 x^{3}

What is the domain of (6x)/((x-5)(x-9)) ?
The domain of (6x)/((x-5)(x-9)) is x<5\lor 5<x<9\lor x>9