Given f, of, x, equals, 3, x, squared, plus, 9, x, minus, 12f(x)=3x

Question

2
+9x−12, find f, of, 10f(10)

Answer 1

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:

\[ \boxed{378} \]