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

The domain of 1/2 ln((1+x)/(1-x)) is -1<x<1

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domain of 1/2 ln((1+x)/(1-x))

domain

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

- 1 < x < 1

Interval Notation

(- 1, 1)

Solution steps

Find positive values for logs:

- 1 < x < 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

- 1 < x < 1

f (x) = 48 - 8 x

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

\frac{x}{( x + 1 ) ^{2}}

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

f (x) = \frac{( 2 x - 3 )}{5 x - 7}

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