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

\frac{2 x - 1}{3 x ^{2} + 11 - 4}

3 x^{2} - 30 x - 2

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

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

2 x x + 3

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