You have two functions: 

- \( f(x) = -x - 9 \)
- \( g(x) = 2x + 6 \)

Here are some basic things we can do with these functions:

1. **Find the composition of the functions:** \( (f \circ g)(x) \) or \( (g \circ f)(x) \)
2. **Find the sum or difference of the functions:** \( f(x) + g(x) \) or \( f(x) - g(x) \)
3. **Find the product or quotient of the functions:** \( f(x) \cdot g(x) \) or \( \frac{f(x)}{g(x)} \)
4. **Solve for the intersection points** where \( f(x) = g(x) \).

Do you want to explore one of these options, or do you have another question regarding these functions?

Here are 5 possible directions you can take:
1. What is the sum of \( f(x) + g(x) \)?
2. What is the composition \( (f \circ g)(x) \)?
3. Find the intersection points of \( f(x) = g(x) \).
4. What is the value of \( f(x) \) and \( g(x) \) at \( x = 3 \)?
5. What is the product of \( f(x) \cdot g(x) \)?

**Tip:** Composition of functions involves substituting one function into another—this is useful for understanding how functions interact when applied in sequence.

Discover the interactions between two linear functions f(x) = -x - 9 and g(x) = 2x + 6. Learn how to compute the composition of functions, find their sum, product, and solve for their intersection points. Ideal for students in Grades 9-12.

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