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

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

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

domain

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

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