The expression \( f(g(x)) \) represents the composition of two functions, \( f \) and \( g \). In this case, \( g(x) \) is substituted as the input for \( f \). Here's the general idea behind the composition of functions:

- \( g(x) \) is evaluated first, giving some result.
- That result is then used as the input for the function \( f \).

The exact form of \( f(g(x)) \) depends on the specific definitions of \( f(x) \) and \( g(x) \). If you have the explicit formulas for \( f(x) \) and \( g(x) \), I can help calculate or simplify \( f(g(x)) \).

Do you want to provide those functions or continue with more details?

Here are some related questions:

1. What happens when \( f(x) = x^2 \) and \( g(x) = x + 1 \)?
2. How does the chain rule apply to \( f(g(x)) \) in calculus?
3. Can you graph the composition of two functions?
4. How do you decompose a complex function into a composition of simpler ones?
5. What are the domain and range of a composite function?

**Tip:** When dealing with function composition, always work from the inside out—evaluate \( g(x) \) first before applying \( f \).

Explore the concept of function composition with f(g(x)), where g(x) is evaluated first, followed by f(x). This topic covers essential ideas in algebra and calculus, including the chain rule. Ideal for students in Grades 9-12.

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