Question
Let \( g(x)=-x^{2}+6 x+1 \). Find and simplify \( g(-2) \) \( g(-2)=\square \) (Simplify your answer.)
Ask by Mills Davison. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( g(-2) = -15 \)
Solution
To find g(–2), substitute –2 into g(x):
g(–2) = –(–2)² + 6(–2) + 1
= –4 – 12 + 1
= –15
So, g(–2) = –15.
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Simplify this solution Mind Expander
To find \( g(-2) \), we plug \( -2 \) into the function \( g(x) \): \[ g(-2) = -(-2)^{2} + 6(-2) + 1 \] Calculating each term: \[ g(-2) = -4 - 12 + 1 \] \[ g(-2) = -15 \] Therefore, \( g(-2) = -15 \).
