What is the domain of (x-3)/(x^2-5x) ?

The domain of (x-3)/(x^2-5x) is x 5

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domain of (x-3)/(x^2-5x)

domain

\frac{x - 3}{x ^{2} - 5 x}

x < 0 or 0 < x < 5 or x > 5

Interval Notation

(- \infty, 0) \cup (0, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = 0

The function domain

x < 0 or 0 < x < 5 or x > 5

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

f (x) = 4 x^{3} + 4 x^{2}

f (x) = (x + 2) = \frac{( 2 x - 1 )}{x + 3}

F (x) = \frac{4}{x ^{2} - x - 2}

ln (\frac{x}{x + 1})

What is the domain of (x-3)/(x^2-5x) ?
The domain of (x-3)/(x^2-5x) is x<0\lor 0<x<5\lor x>5