The function provided in the image is:

$g(x) = \frac{\sec(x) - \frac{1}{x}}{\sin(x)}$

Would you like to find the derivative of $g(x)$, evaluate it for a specific value, or simplify the expression? Let me know how you'd like to proceed.

Here are five potential follow-up questions:

1. Would you like to find the derivative $g'(x)$ using the quotient rule?
2. Are there specific values of $x$ you'd like to evaluate for $g(x)$?
3. Should we check if the function has any asymptotes or discontinuities?
4. Would you like to analyze the behavior of $g(x)$ as $x$ approaches zero?
5. Are there any particular points of interest you'd like to explore for $g(x)$, such as critical points?

Tip: When working with trigonometric functions and rational expressions, always be mindful of points where the function might be undefined, like when denominators equal zero.