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

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

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

domain

f (x) = \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) = - 16 t^{2} + 64 t + 160

f (x) = - 6 x + 4

\frac{2 x + 4}{x ^{2} + 3 x + 2}

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

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

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