The function given in the image is:

$f(x) = \sqrt{x + 5} \text{ and } g(x) = \frac{3}{x} - \ln(xg(x))$

This expression appears to define two functions, $f(x)$ and $g(x)$.

Would you like to explore these functions further, perhaps by finding the domain, calculating derivatives, or analyzing other properties?

Here are some related questions you might find helpful:

1. What is the domain of $f(x)$ and $g(x)$?
2. How do you find the derivative of $f(x)$ and $g(x)$?
3. Can you simplify the expression for $g(x)$ by substituting $g(x)$ back into itself?
4. How do you solve for $x$ when $f(x) = g(x)$?
5. What happens to $g(x)$ as $x$ approaches 0 or infinity?

Tip: When dealing with composite functions or nested functions like this, it's often helpful to analyze each part individually before combining them.