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

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

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

domain

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

x < - 2 or x > 1

Interval Notation

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

Solution steps

Find positive values for logs:

x < - 2 or x > 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x < - 2 or x > 1

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