What is the domain of 4/(1-3(1/x)) ?

The domain of 4/(1-3(1/x)) is x 3

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domain of 4/(1-3(1/x))

domain

\frac{4}{1 - 3 ( \frac{1}{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{( x + 4 )}{- ( x - 1 ) - 1}

6 x + sin (3 x)

(2 x + 3)^{1.4}

x - 13

\frac{3 x - 12}{4}

What is the domain of 4/(1-3(1/x)) ?
The domain of 4/(1-3(1/x)) is x<0\lor 0<x<3\lor x>3