What is the domain of ln(((x-1))/(x^2-4)) ?

The domain of ln(((x-1))/(x^2-4)) is -2 2

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domain of ln(((x-1))/(x^2-4))

domain

ln (\frac{( x - 1 )}{x ^{2} - 4})

- 2 < x < 1 or x > 2

Interval Notation

(- 2, 1) \cup (2, \infty)

Solution steps

Find positive values for logs:

- 2 < x < 1 or x > 2

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

- 2 < x < 1 or x > 2

f (x) = \frac{1}{x ^{2} - 8 x + 18}

f (x) = (x + 7)^{2}

2 x^{2} - x - 1

f (x) = - 3 x^{2} + 5 x

f (x) = x^{2} + 1

What is the domain of ln(((x-1))/(x^2-4)) ?
The domain of ln(((x-1))/(x^2-4)) is -2<x<1\lor x>2