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

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

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

domain

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) = \frac{2 cos ( x ) - 1}{sin ( x ) - 1}

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

f (x) = 8 + 7 x - 8

2 x^{2} + 3 x - 20

f (x) = x \cdot e^{x}