Question:
Find the domain of the function:
\[ f(x) = \sin^{-1}(x) + \sin(x) \]
Concept:
– \( \sin(x) \) is defined for all real numbers – \( \sin^{-1}(x) \) is defined only when:
\[ -1 \leq x \leq 1 \]
—Solution:
Since \( \sin(x) \) has no restriction, the domain depends only on \( \sin^{-1}(x) \).
\[ -1 \leq x \leq 1 \]
—Final Answer:
\[ \boxed{[-1, 1]} \]