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

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

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

domain

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

- 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{7}{4 x + 2}

f (x) = \frac{6 - 8 x}{x - 9}

f (x) = \frac{3 x}{4}

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

f (x) = \frac{30000}{100 - x}

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