Given f, of, x, equals, minus, x, squared, minus, 14f(x)=−x

Question

2
−14, find f, of, 6f(6)

Answer 1

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 \( \boxed{-50} \).