What is the domain of f(x)=(3x)/((x-1)(x-3))-2/(x-3) ?

The domain of f(x)=(3x)/((x-1)(x-3))-2/(x-3) is x 3

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domain of f(x)=(3x)/((x-1)(x-3))-2/(x-3)

domain

f (x) = \frac{3 x}{( x - 1 ) ( x - 3 )} - \frac{2}{x - 3}

x < 1 or 1 < x < 3 or x > 3

Interval Notation

(- \infty, 1) \cup (1, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = 3

The function domain

x < 1 or 1 < x < 3 or x > 3

8 x^{2} - 48 x

\frac{- 1 - 1 - 20 x}{10}

f (x) = ln (8 x - 8)

f (x) = lo g_{10} (\frac{3 x}{( x - 2 )})

f (x) = 2.69 + 0.48 (x - 1)

What is the domain of f(x)=(3x)/((x-1)(x-3))-2/(x-3) ?
The domain of f(x)=(3x)/((x-1)(x-3))-2/(x-3) is x<1\lor 1<x<3\lor x>3