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courtyard by marriott santa monica santa monica - Sourci

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 A traffic flow model is defined by the function \( f(x) = 3x^2 + 2x - 5 \). If \( g(x) = \sqrt{x + 7} \), find \( g(f(3)) \).

📌 First, compute \( f(3) \).

📌 f(3) = 3(3)^2 + 2(3) - 5 = 3 \times 9 + 6 - 5 = 27 + 6 - 5 = 28

📌 Now, substitute \( f(3) = 28 \) into \( g(x) \):

📌 g(28) = \sqrt{28 + 7} = \sqrt{35}

📌 Thus, the value of \( g(f(3)) \) is \(\sqrt{35}\).

📌 \boxed{\sqrt{35}}

📌 A logistic growth model for a population in an urban zone is given by the equation \( P(t) = \frac{1000}{1 + 9e^{-0.5t}} \). Find the \( y \)-intercept of this curve.

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