Question
Given f, of, x, equals, minus, x, squared, minus, 14f(x)=−x
2
−14, find f, of, 6f(6)
2
−14, find f, of, 6f(6)
Answers
GPT-4o mini
To find \( f(6) \) given that \( f(x) = -x^2 - 14 \), we simply substitute \( x = 6 \) into the function:
\[
f(6) = -6^2 - 14
\]
Calculating \( 6^2 \):
\[
6^2 = 36
\]
Now, substituting back into the function:
\[
f(6) = -36 - 14
\]
Combining the values:
\[
f(6) = -50
\]
Thus, the value of \( f(6) \) is \( \boxed{-50} \).
\[
f(6) = -6^2 - 14
\]
Calculating \( 6^2 \):
\[
6^2 = 36
\]
Now, substituting back into the function:
\[
f(6) = -36 - 14
\]
Combining the values:
\[
f(6) = -50
\]
Thus, the value of \( f(6) \) is \( \boxed{-50} \).