Question
Given \( g(x) \), evaluate \( g(6) \) \( g(x)=3 x^{2}+8 x+4 \) \( g(6)=[?] \)
Ask by George Rose. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( g(6) = 160 \)
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The Deep Dive
To find \( g(6) \), simply substitute \( x \) with \( 6 \) in the function \( g(x) = 3x^2 + 8x + 4 \). So, we have: \[ g(6) = 3(6^2) + 8(6) + 4 \] Calculating it step by step: 1. \( 6^2 = 36 \) 2. \( 3 \cdot 36 = 108 \) 3. \( 8 \cdot 6 = 48 \) 4. Adding these together: \( 108 + 48 + 4 = 160 \) Thus, \( g(6) = 160 \).
