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The question asks, "What does \( f(g(x)) \) represent in function composition?" 

The correct answer is:

**a. Function \( f \) is composed of function \( g \)**

In this context, \( f(g(x)) \) means you first apply function \( g \) to \( x \), and then apply function \( f \) to the result of \( g(x) \). This is known as **composition of functions**.

Let me know if you need more details or have any questions.

Here are five related questions to expand on this topic:
1. How do you compute \( f(g(x)) \) if \( f(x) = x^2 \) and \( g(x) = x + 1 \)?
2. What is the difference between function composition and addition of functions?
3. Can function composition be commutative? Why or why not?
4. How do you decompose a function into two simpler functions?
5. How would you graph the composition of two functions?

**Tip**: When composing functions, always apply the inner function (the one inside the parentheses) first, then the outer function.

What does f(g(x)) represent in function composition?

Learn about function composition in algebra with the expression f(g(x)). This concept involves applying one function inside another and is a fundamental idea in mathematics. Suitable for students in Grades 9-12.

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