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

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

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domain of ln((x+1)/(x-2))

domain

ln (\frac{x + 1}{x - 2})

x < - 1 or x > 2

Interval Notation

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

Solution steps

Find positive values for logs:

x < - 1 or x > 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x < - 1 or x > 2

f (x) = x^{4} + 4 x^{3} + 1

g (x) = \frac{2}{2 + 4 x ^{2}}

\frac{∣ x ∣}{x + 1}

\frac{1}{x ^{2} + 3 x - 4}

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

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