Question
Given f, of, x, equals, minus, 3, x, squared, minus, 3, xf(x)=−3x
2
−3x, find f, of, minus, 6f(−6)
2
−3x, find f, of, minus, 6f(−6)
Answers
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Answered by
GPT-4o mini
To find \( f(-6) \) given the function \( f(x) = -3x^2 - 3x \), we can substitute \(-6\) into the function.
\[
f(-6) = -3(-6)^2 - 3(-6)
\]
Calculating each term:
1. Calculate \((-6)^2\):
\[
(-6)^2 = 36
\]
2. Compute \(-3(-6)^2\):
\[
-3(36) = -108
\]
3. Compute \(-3(-6)\):
\[
-3(-6) = 18
\]
Now combine these results:
\[
f(-6) = -108 + 18 = -90
\]
Thus, \( f(-6) = -90 \).
Therefore, the answer is:
\[
f(-6) = -90
\]
\[
f(-6) = -3(-6)^2 - 3(-6)
\]
Calculating each term:
1. Calculate \((-6)^2\):
\[
(-6)^2 = 36
\]
2. Compute \(-3(-6)^2\):
\[
-3(36) = -108
\]
3. Compute \(-3(-6)\):
\[
-3(-6) = 18
\]
Now combine these results:
\[
f(-6) = -108 + 18 = -90
\]
Thus, \( f(-6) = -90 \).
Therefore, the answer is:
\[
f(-6) = -90
\]
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