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Home » g(4) = \sqrt4 + 5 = \sqrt9 = 3 - IX Labs

g(4) = \sqrt4 + 5 = \sqrt9 = 3 - IX Labs

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 = 10^2 - 2ab \implies 58 = 100 - 2ab \implies 2ab = 42 \implies ab = 21

📌 Now substitute \( a+b \), \( a^2+b^2 \), and \( ab \) into the sum of cubes formula:

📌 Question:** A cartographer is designing a map transformation function \( T(x) = 3x^2 - 2x + 5 \). If \( x = g(y) = 2y + 1 \), find \( T(g(3)) \).

📌 First, find \( g(3) \):

📌 g(3) = 2(3) + 1 = 7

📌 Now substitute \( x = g(3) = 7 \) into \( T(x) \):

📌 T(7) = 3(7)^2 - 2(7) + 5

📌 3(7)^2 = 3 \times 49 = 147

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