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.