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

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

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domain of f(x)=ln((2+x)/(2-x))

domain

f (x) = ln (\frac{2 + x}{2 - x})

- 2 < x < 2

Interval Notation

(- 2, 2)

Solution steps

Find positive values for logs:

- 2 < x < 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

- 2 < x < 2

f (x) = 2 x^{2} - 50

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

f (x) = \frac{( x - 2 )}{x ^{2} - 16}

f (x) = ln (- 2 x^{2} - 2 x + 40)

f (x) = ln (26 - 9 x^{2})

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