The problem asks to find $(g \circ f)(2)$, where $f(x) = 2x + 3$ and $g(x) = x^2 - 7$.

Steps:

1. First, find $f(2)$: $f(2) = 2(2) + 3 = 4 + 3 = 7$

2. Now, substitute $f(2) = 7$ into $g(x)$: $g(7) = 7^2 - 7 = 49 - 7 = 42$

Thus, $(g \circ f)(2) = 42$.

Would you like more details or have any questions?

Follow-up questions:

1. How do you find the composition of two functions in general?
2. Can you explain why $g(f(x))$ is different from $f(g(x))$?
3. How would you approach this problem if the functions were different?
4. What happens when you reverse the composition and compute $f(g(2))$?
5. How do you interpret compositions of functions graphically?

Tip: When working with compositions of functions, remember that you always evaluate the innermost function first and work your way outward.