Question
Given the function defined by \( g(x)=-x^{2}-6 x-6 \), find \( g(a) \). Express the answer in simplest form. \( g(a)= \)
Ask by Bond Salinas. in the United States
Jan 12,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( g(a) = -a^2 - 6a - 6 \)
Solution
To find \( g(a) \) for the function \( g(x) = -x^2 - 6x - 6 \), substitute \( a \) for \( x \) in the expression:
\[
g(a) = -a^2 - 6a - 6
\]
This is the simplest form of \( g(a) \).
\[
g(a) = -a^2 - 6a - 6
\]
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Mind Expander
To find \( g(a) \), we simply substitute \( a \) into the function \( g(x) = -x^2 - 6x - 6 \). So, \[ g(a) = -a^2 - 6a - 6. \] This expression is already in its simplest form. Thus, \[ g(a) = -a^2 - 6a - 6. \] There you have it!