https://file.aiquickdraw.com/mathbot/file/1727321160810g3jovck3.jpg

The image contains two functions:

1. \( F(x) = x^2 + x - 12 \)
2. \( G(x) = x - 3 \)

Would you like help finding their combined operations such as composition (\(F(G(x))\) or \(G(F(x))\)) or solving for roots, intersections, or other properties?

Let me know if you want details or have specific questions, and here are some related questions to expand:

1. What are the roots of \(F(x)\)?
2. What happens when you compose \(F(x)\) and \(G(x)\) (e.g., \(F(G(x))\))?
3. How do the graphs of \(F(x)\) and \(G(x)\) intersect?
4. What is the domain and range of \(F(x)\) and \(G(x)\)?
5. Can \(F(x)\) be factored, and what does it tell us?

**Tip:** When solving quadratic equations like \(F(x)\), factoring or using the quadratic formula can simplify the process.

Given two functions F(x) = x^2 + x - 12 and G(x) = x - 3.

Explore how to solve and compose the functions F(x) = x^2 + x - 12 and G(x) = x - 3. This problem covers key algebraic concepts, including solving quadratic equations and function composition. Suitable for students in Grades 9-11.

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