Asked by B
Given f, of, x, equals, 3, x, squared, plus, 9, x, minus, 12f(x)=3x
2
+9x−12, find f, of, 10f(10)
2
+9x−12, find f, of, 10f(10)
Answers
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Answered by
GPT-4o mini
To find \( f(10) \) for the function \( f(x) = 3x^2 + 9x - 12 \), follow these steps:
1. Substitute \( x = 10 \) into the function:
\[
f(10) = 3(10)^2 + 9(10) - 12
\]
2. Calculate \( 10^2 \):
\[
10^2 = 100
\]
3. Substitute back into the equation:
\[
f(10) = 3(100) + 9(10) - 12
\]
4. Calculate each term:
\[
3(100) = 300
\]
\[
9(10) = 90
\]
\[
f(10) = 300 + 90 - 12
\]
5. Combine the results:
\[
f(10) = 300 + 90 = 390
\]
\[
390 - 12 = 378
\]
Thus,
\[
f(10) = 378
\]
Therefore, the final answer is:
\[
\boxed{378}
\]
1. Substitute \( x = 10 \) into the function:
\[
f(10) = 3(10)^2 + 9(10) - 12
\]
2. Calculate \( 10^2 \):
\[
10^2 = 100
\]
3. Substitute back into the equation:
\[
f(10) = 3(100) + 9(10) - 12
\]
4. Calculate each term:
\[
3(100) = 300
\]
\[
9(10) = 90
\]
\[
f(10) = 300 + 90 - 12
\]
5. Combine the results:
\[
f(10) = 300 + 90 = 390
\]
\[
390 - 12 = 378
\]
Thus,
\[
f(10) = 378
\]
Therefore, the final answer is:
\[
\boxed{378}
\]
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