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

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

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

domain

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

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 = 0, x = 3

The function domain

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

3 x - 6 y = - 6

\frac{2 x - 1}{x + 3}

f (x) = 8 (x - 3)

f (x) = x - 5

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