Given f, of, x, equals, minus, x, squared, plus, 9f(x)=−x

Question

2
+9, find f, of, minus, 5f(−5)

Answer 1

To find \( f(-5) \) when given the function \( f(x) = -x^2 + 9 \), we can follow these steps:

1. Substitute -5 into the function:

\[ f(-5) = -(-5)^2 + 9 \]

2. Calculate \((-5)^2\):

\[ (-5)^2 = 25 \]

3. Substitute back into the equation:

\[ f(-5) = -25 + 9 \]

4. Simplify:

\[ f(-5) = -25 + 9 = -16 \]

Thus, \( f(-5) = -16 \).

The final answer is:

\[ f(-5) = -16 \]