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Home » Weeb Central Unleashed: 10 Hidden Gems You Can’t Miss! - AMAZONAWS

Weeb Central Unleashed: 10 Hidden Gems You Can’t Miss! - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 #### 3.5**Question:** A quantum sensing specialist is modeling the behavior of a particle with the function \( f(x) = x^2 + 2x + 1 \). Determine \( f(g(x)) \) if \( g(x) = \sqrt{x+3} \) and find \( f(g(5)) \).

📌 First, find the expression for \( f(g(x)) \). Given \( g(x) = \sqrt{x+3} \), substitute this into \( f(x) \):

📌 f(g(x)) = f(\sqrt{x+3}) = (\sqrt{x+3})^2 + 2\sqrt{x+3} + 1

📌 Simplify the expression:

📌 f(g(x)) = x + 3 + 2\sqrt{x+3} + 1 = x + 2\sqrt{x+3} + 4

📌 Now find \( f(g(5)) \):

📌 g(5) = \sqrt{5+3} = \sqrt{8} = 2\sqrt{2}

📌 Substitute into \( f(x) \):

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