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)

Answers

There are no human answers yet.
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:

\[
\boxed{378}
\]

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