What is the domain of (3x-3)/(x(x-1)) ?

The domain of (3x-3)/(x(x-1)) is x 1

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domain of (3x-3)/(x(x-1))

domain

\frac{3 x - 3}{x ( x - 1 )}

x < 0 or 0 < x < 1 or x > 1

Interval Notation

(- \infty, 0) \cup (0, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = 1

The function domain

x < 0 or 0 < x < 1 or x > 1

ln (\frac{x + 4}{4 x - 16})

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

f (x) = 2 x + 6 + 2 - x

f (x) = 30 - 4 x + 2 x^{2}

f (x) = 6 9 - 8 x + 7

What is the domain of (3x-3)/(x(x-1)) ?
The domain of (3x-3)/(x(x-1)) is x<0\lor 0<x<1\lor x>1