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The equation in the image shows \( (f \circ g)(x) = 2x^2 + 4x - 7 \).

This notation, \( (f \circ g)(x) \), represents the composition of two functions \( f \) and \( g \), where the output of function \( g(x) \) is used as the input for function \( f(x) \). Therefore, \( (f \circ g)(x) = f(g(x)) \).

The equation you're given can be understood as the result of this composition, meaning the right-hand side, \( 2x^2 + 4x - 7 \), is the outcome after applying \( g(x) \) inside \( f(x) \).

Would you like help identifying or deriving the individual functions \( f(x) \) and \( g(x) \)? 

Here are some related questions:
1. What are the functions \( f(x) \) and \( g(x) \) for this composition?
2. How do you find \( g(x) \) given the composition and \( f(x) \)?
3. Can you reverse the composition process to determine each function?
4. What is the significance of the composition of functions in calculus?
5. How do we calculate the derivative of a composite function?

**Tip**: Function composition can be tricky. A key step is always breaking it down into simpler parts—identify one function first and use it to find the other.

Explore how to solve the function composition equation (f ° g)(x) = 2x^2 + 4x - 7. This page explains function composition and quadratic functions, suitable for high school students in Grades 10-12.

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