What is the domain of (x-2)*sqrt((1+x)/(1-x)) ?

The domain of (x-2)*sqrt((1+x)/(1-x)) is -1<= x<1

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domain of (x-2)*sqrt((1+x)/(1-x))

domain

(x - 2) \cdot \frac{1 + x}{1 - x}

- 1 \leq x < 1

Interval Notation

[- 1, 1)

Solution steps

Find non-negative values for radicals:

- 1 \leq x < 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

- 1 \leq x < 1

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

f (x) = \frac{1}{\frac{x}{2} + 6}

\frac{2 x - 1}{x ^{2} - 5 x + 6}

f (x) = - 3 x^{2} + 360 x

\frac{x ^{3} + 5 x ^{2} + 1}{x ^{4} + x ^{3} - x ^{2} + 2}

What is the domain of (x-2)*sqrt((1+x)/(1-x)) ?
The domain of (x-2)*sqrt((1+x)/(1-x)) is -1<= x<1