1. The problem asks if the function $g(x) = \sqrt{e^x}$ is a composite function and to identify the "inner" and "outer" functions if it is. 2. A composite function is written as $w(u(x))$, where $u(x)$ is the inner function and $w(x)$ is the outer function. 3. Here, $g(x) = \sqrt{e^x}$ can be seen as $w(u(x))$ where $u(x) = e^x$ and $w(x) = \sqrt{x}$. 4. This means the inner function is $e^x$ and the outer function is $\sqrt{x}$. 5. Therefore, $g(x)$ is a composite function with inner function $e^x$ and outer function $\sqrt{x}$. Final answer: (A) g is composite. The "inner" function is $e^x$ and the "outer" function is $\sqrt{x}$.