QuestionDecompose the function $f(g(x))=\sqrt{\sin x}$ into $f(x)$ and $g(x)$.
Answer Attempt 1 out of 2 $$g(x)=$$ $\square$ $$f(x)=$$ $\square$

Studdy Solution
To identify the outer function $f(x)$, observe how the inner function $g(x) = \sin x$ is used in the composition. The expression becomes $\sqrt{g(x)}$, indicating that the outer function is the square root function:
$$f(x) = \sqrt{x}$$
The decomposition of the function $f(g(x)) = \sqrt{\sin x}$ is:
$$g(x) = \sin x$$ $$f(x) = \sqrt{x}$$