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

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

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

domain

f (x) = \frac{4}{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) = \frac{4}{3} x + 8

y = - 3 (x + 2)^{2} + 4

x + 12 = 0

y = - 5 x

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