What is the domain of f(x)=log_{2}((-x-1)/(x-1)) ?

The domain of f(x)=log_{2}((-x-1)/(x-1)) is -1<x<1

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domain of f(x)=log_{2}((-x-1)/(x-1))

domain

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

- 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) = 3 \cdot (- 7)

f (x) = 2 x^{2} + 4

f (x) = 2^{x - 4}

f (x) = - x^{2} - 2 x + 15

arctan (\frac{x}{x ^{2} + 28})

What is the domain of f(x)=log_{2}((-x-1)/(x-1)) ?
The domain of f(x)=log_{2}((-x-1)/(x-1)) is -1<x<1