To compute \((f \circ g)(x)\), also known as the composition of functions \(f\) and \(g\), it means you are plugging the output of \(g(x)\) into the function \(f(x)\). In other words, \((f \circ g)(x) = f(g(x))\).

For example, if you have:
- \( f(x) = 2x + 3 \)
- \( g(x) = x^2 + 1 \)

Then:
\[
(f \circ g)(x) = f(g(x)) = f(x^2 + 1) = 2(x^2 + 1) + 3 = 2x^2 + 2 + 3 = 2x^2 + 5
\]

Would you like to share the specific functions for \(f(x)\) and \(g(x)\), so we can find the exact composition for your case?

Here are 5 related questions to expand on this:
1. How do you find the domain of a composition of functions?
2. Can you reverse the composition and compute \((g \circ f)(x)\)?
3. What is the difference between function composition and multiplication?
4. What happens if \(f(x)\) and \(g(x)\) are inverse functions?
5. How does the composition of functions relate to real-world problems?

**Tip:** Always check if both \(f(x)\) and \(g(x)\) are defined for the given input when computing compositions!

Explore the concept of function composition in algebra, including a step-by-step guide on how to compute (f ◦ g)(x) when f(x) = 2x + 3 and g(x) = x^2 + 1. Learn the core mathematical concepts behind function composition and apply them to different problems. Suitable for students in Grades 9-12.

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