The expression \( h(g(x)) \) represents the **composition of two functions**, where the function \( h \) is applied to the result of the function \( g(x) \).

In more detail:
- First, you evaluate \( g(x) \), which gives some output.
- Then, you take this output and use it as the input for the function \( h \).

Mathematically:
\[
h(g(x)) = h(y), \text{ where } y = g(x).
\]
The result depends on the specific definitions of \( h \) and \( g \). If you provide the formulas for \( h(x) \) and \( g(x) \), I can give you the exact result.

Would you like to provide those functions, or is there something more specific you're asking about?

Here are 5 related questions that could expand on this:
1. What are the specific forms of \( h(x) \) and \( g(x) \)?
2. How do you differentiate a composite function like \( h(g(x)) \)?
3. What are the properties of composite functions?
4. How do you find the inverse of a composite function?
5. What happens when you compose the same function multiple times, like \( h(h(x)) \)?

**Tip**: When differentiating composite functions, remember to use the chain rule!

Explore the concept of function composition with h(g(x)). Learn how to evaluate composite functions, apply the chain rule for differentiation, and understand the properties of function combinations. Suitable for high school students in Grades 9-12.

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