What is the domain of y=sqrt(1-|(x+1)/(x-1)|) ?

The domain of y=sqrt(1-|(x+1)/(x-1)|) is x<= 0

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domain of y=sqrt(1-|(x+1)/(x-1)|)

domain

y = 1 - \frac{x + 1}{x - 1}

x \leq 0

Interval Notation

(- \infty, 0]

Solution steps

Find non-negative values for radicals:

x \leq 0

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x \leq 0

f (x) = - 50 x - 55

f (x) = (x - 5)^{2}

1 + \frac{9 x - 70}{x ^{2} - 15 x + 56}

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

\frac{- 1}{x}

What is the domain of y=sqrt(1-|(x+1)/(x-1)|) ?
The domain of y=sqrt(1-|(x+1)/(x-1)|) is x<= 0