Question

Find the domain of the following function:

`f(x) = sin^-1x + sinx`

Answer 1

Let f(x) = g(x) + h(x), where 
Therefore, the domain of f(x) is given by the intersection of the domain of g(x) and h(x)
The domain of g(x) is [−1, 1]
The domain of h(x) is (−∞, ∞)
Therfore, the intersection of g(x) and h(x) is [−1, 1]
Hence, the domain is [−1, 1].