What is the domain of (4-x)/(x(x-3)) ?

The domain of (4-x)/(x(x-3)) is x 3

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domain of (4-x)/(x(x-3))

domain

\frac{4 - x}{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

y = - \frac{1}{4} x + 2

- \frac{1}{2 7 - x}

\frac{x - 6}{x ^{2} - 25}

f (x) = - 4 x^{2} + 12

f (x) = - 2 x + 10

What is the domain of (4-x)/(x(x-3)) ?
The domain of (4-x)/(x(x-3)) is x<0\lor 0<x<3\lor x>3