What is the domain of ((4-x))/(x^2-3x) ?

The domain of ((4-x))/(x^2-3x) is x 3

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domain of ((4-x))/(x^2-3x)

domain

\frac{( 4 - 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

- 5 x^{2} - 40 x - 75

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

f (x) = x^{6} e^{x} - 7

f (x) = lo g_{2} (\frac{e ^{x} - 6}{4})

(- 2, - 8), (2, - 3)

What is the domain of ((4-x))/(x^2-3x) ?
The domain of ((4-x))/(x^2-3x) is x<0\lor 0<x<3\lor x>3