What is the domain of f(x)=sqrt(1-(|x+1|)/(|x-1|)) ?

The domain of f(x)=sqrt(1-(|x+1|)/(|x-1|)) is x<= 0

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domain of f(x)=sqrt(1-(|x+1|)/(|x-1|))

domain

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

x \leq 0

Interval Notation

(- \infty, 0]

Solution steps

Find non-negative values for radicals:

x \leq 0

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x \leq 0

f (x) = \frac{22}{4 x - 15}

f (x) = \frac{x - 8}{x ^{2} + 8 x - 9}

f (x) = lo g_{2} (\frac{3 - 2 x}{1 - x})

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

f (x) = x^{2} - 100 x + 2650

What is the domain of f(x)=sqrt(1-(|x+1|)/(|x-1|)) ?
The domain of f(x)=sqrt(1-(|x+1|)/(|x-1|)) is x<= 0