To find \((fg)(x)\), we need both \(f(x)\) and \(g(x)\).

You have given \(f(x) = x\), but you haven't provided \(g(x)\).

- If you provide \(g(x)\), I can help you determine \((fg)(x)\), which represents the product of \(f(x)\) and \(g(x)\).

Would you like to clarify what \(g(x)\) is, or need help with anything else?

Here are 5 related questions to explore:

1. What happens if \(g(x) = x^2\)? What would \((fg)(x)\) be in that case?
2. How does the process change if \(g(x) = \sin(x)\)?
3. What is the difference between \((f \circ g)(x)\) and \((fg)(x)\)?
4. What happens if you add two functions instead of multiplying them, i.e., \((f+g)(x)\)?
5. How does the product of two functions relate to their individual derivatives?

**Tip:** The product of two functions, \((fg)(x)\), is calculated by multiplying the two functions at each \(x\), i.e., \(f(x) \cdot g(x)\).

Explore how to calculate the product of two functions, (fg)(x), with f(x) = x. Understand the process of multiplying functions and the significance of knowing g(x) to solve the problem. This explanation is ideal for students in Grades 9-12, covering key algebraic concepts related to function multiplication.

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