To solve $(g \circ f)(-2)$, we need to understand the composition of functions $g$ and $f$. The notation $(g \circ f)(-2)$ means that we first apply $f$ to $-2$, and then apply $g$ to the result of $f(-2)$.

Steps:

1. Find $f(-2)$: Evaluate the function $f$ at $x = -2$.

2. Find $g(f(-2))$: Once we have the result from step 1, substitute that value into the function $g$.

Without knowing the explicit definitions of $f(x)$ and $g(x)$, it's impossible to calculate the exact value. However, if you provide the definitions or expressions for $f(x)$ and $g(x)$, I can continue solving the problem.

Would you like to share the definitions of $f(x)$ and $g(x)$, or should I explain further?

Related Questions:

1. What is the difference between $f \circ g$ and $g \circ f$?
2. How do you find the domain of a composition of functions?
3. What does it mean for two functions to be inverses under composition?
4. How can you verify if a function is onto or one-to-one?
5. Can all functions be composed with each other? If not, why?

Tip: When composing functions, always be mindful of the domain restrictions for both functions involved.