Given f, of, x, equals, minus, x, squared, minus, 13f(x)=−x

Question

2
−13, find f, of, minus, 6f(−6)

Answer 1

To find \( f(-6) \) given the function \( f(x) = -x^2 - 13 \), we can substitute \( -6 \) into the function.

\[ f(-6) = -(-6)^2 - 13 \]

Now, calculate \( (-6)^2 \):

\[ (-6)^2 = 36 \]

Substitute this back into the equation:

\[ f(-6) = -36 - 13 \]

Now, calculate \( -36 - 13 \):

\[ -36 - 13 = -49 \]

Thus, the value of \( f(-6) \) is:

\[ f(-6) = -49 \]