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

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

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domain of f(x)=(x+5)/(x^2-3x)

domain

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

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 = 3, x = 0

The function domain

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

f (x) = - 2 x + 12

f (x) = 4 x - 1

- x^{2} + 8 x - 15

f (x) = \frac{2 x + 5}{3 x ^{2} - 10 x - 8}

f (x) = 20 - \frac{1}{2} x

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