What is the domain of y= 1/((1-\frac{(1-x)){x})} ?

The domain of y= 1/((1-\frac{(1-x)){x})} is x 1/2

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domain of y= 1/((1-\frac{(1-x)){x})}

domain

y = \frac{1}{( 1 - \frac{( 1 - x )}{x} )}

x < 0 or 0 < x < \frac{1}{2} or x > \frac{1}{2}

Interval Notation

(- \infty, 0) \cup (0, \frac{1}{2}) \cup (\frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{2}, x = 0

The function domain

x < 0 or 0 < x < \frac{1}{2} or x > \frac{1}{2}

f (x) = \frac{2 x + 6}{3 x + 2}

f (x) = x (5 - 2 x) (10 - 2 x)

f (x) = lo g_{3} (x) + 2

f (x) = \frac{x + 7}{x - 2}

f (x) = \frac{- x ^{2} + 7 x - 10}{x - 3}

What is the domain of y= 1/((1-\frac{(1-x)){x})} ?
The domain of y= 1/((1-\frac{(1-x)){x})} is x<0\lor 0<x< 1/2 \lor x> 1/2