What is the domain of f(x)=arcsin[x]?

1 Answer
Sep 1, 2016

The domain of f(x) is x1

Explanation:

As the range for sin(x) is [1,1] for all real x

So, if we simplify the above equation:

f(x)=arcsin(x) ;or
sin(f(x))=x ;or
So, we know that the range of above equation is [1,1]
thus, x is [1,1] ;or
x1 is the solution or the domain of the original f(x)