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Home » Then compute $h(g(3)) = h(2)$: - RoadRUNNER Motorcycle Touring & Travel Magazine

Then compute $h(g(3)) = h(2)$: - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Now use $ 7a + 3b + c = -4 $:

📌 7(-\frac{5}{3}) + 3(15) + c = -4 \Rightarrow -\frac{35}{3} + 45 + c = -4 \Rightarrow c = -4 + \frac{35}{3} - 45 = -\frac{112}{3}

📌 Now use $ a + b + c + d = 3 $:

📌 -\frac{5}{3} + 15 - \frac{112}{3} + d = 3 \Rightarrow \left( -\frac{117}{3} + 15 \right) + d = 3 \Rightarrow -39 + 15 + d = 3 \Rightarrow d = 27

📌 So $ f(0) = d = \boxed{27} $

📌 Question: A computational biologist is analyzing a genetic model where the number of possible gene expression patterns corresponds to the product of the roots of the equation

📌 x\sqrt{x} - 7x + 10\sqrt{x} = 0.

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