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

The domain of f(x)=arcsin((x-1)/(x+1)) is x>= 0

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domain of f(x)=arcsin((x-1)/(x+1))

domain

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

x \geq 0

Interval Notation

[0, \infty)

Solution steps

Find known functions domain restrictions:

x \geq 0

Find undefined (singularity) points:

x = - 1

Combine real regions and undefined points for final function domain

x \geq 0

What is the domain of f(x)=arcsin((x-1)/(x+1)) ?
The domain of f(x)=arcsin((x-1)/(x+1)) is x>= 0