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

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

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

domain

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

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

f (x) = {x + 1, x < 0}

- 2.3

f (x) = ln (2 x + 1)

\frac{x + 9}{( x - 1 ) ( x - 7 )}

8 x

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