Find the domain of each of the following functions:
f(x) = sin–1x + sinx
Domain of lies in the interval [–1, 1].
The domain of sin x lies in the interval
From the above we can see that the domain of sin–1x + sinx is the intersection of the domains of sin–1x and sin x.
So domain of sin–1x + sinx is [–1, 1].