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

The domain of sqrt((x-1)/(x+1)) is x = 1

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domain of sqrt((x-1)/(x+1))

domain

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

x < - 1 or x \geq 1

Interval Notation

(- \infty, - 1) \cup [1, \infty)

Solution steps

Find non-negative values for radicals:

x < - 1 or x \geq 1

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x < - 1 or x \geq 1

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

f (x) = 7 x + 14

f (x) = \frac{x}{2 x - 8}

y = \frac{x + k}{x}

4 t^{3} - 4 t + 1

What is the domain of sqrt((x-1)/(x+1)) ?
The domain of sqrt((x-1)/(x+1)) is x<-1\lor x>= 1