Given the definitions of f, of, xf(x) and g, of, xg(x) below, find the value of left parenthesis, g, circle, f, right parenthesis, left parenthesis, minus, 2, right parenthesis, .(g∘f)(−2).

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.

Learn how to solve a function composition problem by evaluating (g∘f)(−2). This detailed solution explains the steps to compute the value by first applying the function f to -2 and then applying the function g to the result. Suitable for high school students in Grades 10-12.

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