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

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

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

domain

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

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

8 x - 7

(- 1, 1.1), (1, - 2.9)

(- 1.2) (3.7)

sin (2 x)

f (x) = \frac{( x + 16 )}{( x - 4 )}

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