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

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

February 22, 2026

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

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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
T(7) = 3(7)^2 - 2(7) + 5
3(7)^2 = 3 \times 49 = 147
-2(7) = -14

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