To solve for \( (h \circ f)(x) \), which represents the composition of two functions \( h(x) \) and \( f(x) \), you apply the function \( h \) to the result of \( f(x) \). In other words:

\[
(h \circ f)(x) = h(f(x))
\]

To give you a specific solution, I'd need the explicit forms of \( h(x) \) and \( f(x) \). Could you provide these functions?

If not, I can explain the general process more deeply. Let me know how you'd like to proceed!

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Here are 5 related questions to think about:
1. What is the difference between \( h(x) \) and \( (h \circ f)(x) \)?
2. Can you provide examples of functions \( h(x) \) and \( f(x) \) for us to work through?
3. How does the domain of \( f(x) \) affect the domain of \( (h \circ f)(x) \)?
4. What happens when \( h(x) \) or \( f(x) \) are inverse functions of each other?
5. How does function composition relate to real-world applications?

**Tip**: The order of function composition matters! \( (h \circ f)(x) \neq (f \circ h)(x) \) in most cases.

Discover how to solve the function composition (h•f)(x) where h(x) and f(x) are composed. This step-by-step explanation highlights key algebraic concepts, including function composition and how to apply the composition formula. Suitable for students in Grades 9-12.

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