Given f, of, x, equals, minus, 3, x, squared, minus, 6, xf(x)=−3x

Question

2
−6x, find f, of, minus, 4f(−4)

Answer 1

To find \( f(-4) \) for the function \( f(x) = -3x^2 - 6x \), we need to substitute \(-4\) into the function.

So,

\[ f(-4) = -3(-4)^2 - 6(-4) \]

Now we calculate each term:

1. Calculate \((-4)^2\): \[ (-4)^2 = 16 \]

2. Substitute back into the function: \[ f(-4) = -3(16) - 6(-4) \]

3. Calculate \(-3(16)\): \[ -3(16) = -48 \]

4. Calculate \(-6(-4)\): \[ -6(-4) = 24 \]

5. Combine the results: \[ f(-4) = -48 + 24 = -24 \]

Thus, \( f(-4) = -24 \).