The problem in the image involves two given functions, $f(x) = \sqrt{5x}$ and $g(x) = 7x - 3$. The task is to:

1. Find $f \circ g(x)$, which represents $f(g(x))$.
2. Simplify the result and also determine the domain of $f(g(x))$.

Let's break this down:

Step 1: Calculate $f(g(x))$

• $f(x) = \sqrt{5x}$
• $g(x) = 7x - 3$

To compute $f(g(x))$, we substitute $g(x)$ into ( f(x