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

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

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

domain

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

x < 0 or 0 < x < 2 or x > 2

Interval Notation

(- \infty, 0) \cup (0, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = 0

The function domain

x < 0 or 0 < x < 2 or x > 2

f (x) = 6 + 2 x^{2} - x^{4}

f (x) = \frac{( 16 x ^{2} - 8 x + 1 )}{4 x - 3}

f (x) = 16 - t

f (x) = \frac{e ^{x^{8}}}{2}

f (x) = \frac{( 3 x + 1 )}{( 4 x + 2 )}

What is the domain of 3/(1-2(1/x)) ?
The domain of 3/(1-2(1/x)) is x<0\lor 0<x<2\lor x>2