What is the domain of f(x)=ln((x^2-3)/(1-x^2)) ?

The domain of f(x)=ln((x^2-3)/(1-x^2)) is -sqrt(3)<x<-1\lor 1<x<sqrt(3)

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domain of f(x)=ln((x^2-3)/(1-x^2))

domain

f (x) = ln (\frac{x ^{2} - 3}{1 - x ^{2}})

- 3 < x < - 1 or 1 < x < 3

Interval Notation

(- 3, - 1) \cup (1, 3)

Solution steps

Find positive values for logs:

- 3 < x < - 1 or 1 < x < 3

Find undefined (singularity) points:

x = 1, x = - 1

Combine real regions and undefined points for final function domain

- 3 < x < - 1 or 1 < x < 3

2 x + 2 y = 4

f (x) = 8 x, x \geq 0

f (x) = (\frac{1}{5})

4 x - 1 = 3 y + 5

f (x) = \frac{5}{( \frac{x}{x + 5} )}

What is the domain of f(x)=ln((x^2-3)/(1-x^2)) ?
The domain of f(x)=ln((x^2-3)/(1-x^2)) is -sqrt(3)<x<-1\lor 1<x<sqrt(3)