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

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

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domain of f(x)= 6/(x(x-3))

domain

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

x < 0 or 0 < x < 3 or x > 3

Interval Notation

(- \infty, 0) \cup (0, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = 3

The function domain

x < 0 or 0 < x < 3 or x > 3

f (x) = 2^{1 - x^{2}}

f (x) = \frac{x + 1}{x ^{2} + 5 x + 4}

y = - 3 (x - 2)^{2} + 4

\frac{8 x + 3}{2 x - 6}

f (x) = \frac{( 5 - x )}{x}

What is the domain of f(x)= 6/(x(x-3)) ?
The domain of f(x)= 6/(x(x-3)) is x<0\lor 0<x<3\lor x>3