https://file.aiquickdraw.com/mathbot/file/1727359584474jds25g39.jpg

The problem in the image asks:

**Find the set of values of \( x \) for which the curve with equation \( y = f(x) \) is below the line with equation \( y = g(x) \).**

This is essentially asking for the intervals where the function \( f(x) \) is less than \( g(x) \), or:

\[
f(x) < g(x)
\]

To solve this problem, follow these steps:

1. **Set up the inequality**: Write down the inequality \( f(x) < g(x) \) that you need to solve.
2. **Solve for \( x \)**: This typically involves finding where the two functions intersect (i.e., solve \( f(x) = g(x) \) for \( x \)) and then determining on which intervals \( f(x) \) is below \( g(x) \).
3. **Check the sign of the difference**: Once the intersection points are found, you can analyze the sign of \( f(x) - g(x) \) in the intervals between and beyond these points.
4. **Express the solution**: Identify the intervals where \( f(x) < g(x) \) and express them in interval notation.

If you provide the specific functions \( f(x) \) and \( g(x) \), I can assist with solving this step by step.

Would you like a more detailed explanation or have any questions? Here are five related questions you can consider:

1. What are the exact forms of the functions \( f(x) \) and \( g(x) \)?
2. How do you determine where two curves intersect algebraically?
3. What methods are commonly used to analyze inequalities between two functions?
4. How can you graphically interpret the solution to \( f(x) < g(x) \)?
5. What happens if the curves \( f(x) \) and \( g(x) \) intersect at multiple points?

**Tip:** Always check the boundaries (intersection points) to see whether they should be included or excluded in your solution.

Find the set of values of x for which the curve with equation y = f(x) is below the line with equation y = g(x).

Learn how to find the set of x-values where f(x) is below g(x). This involves solving inequalities between functions, analyzing their intersection points, and understanding graphical relationships.

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