Given f, of, x, equals, 3, x, squared, plus, 2f(x)=3x

Question

2
+2, find f, of, minus, 7f(−7)

Answer 1

To solve for \( f(-7) \) given the function \( f(x) = 3x^2 + 2 \), we can follow these steps:

1. Calculate \( f(-7) \): \[ f(-7) = 3(-7)^2 + 2 \]

   First, we calculate \( (-7)^2 \): \[ (-7)^2 = 49 \]

   Now, substituting back: \[ f(-7) = 3 \times 49 + 2 = 147 + 2 = 149 \]

2. Calculate \( 7f(-7) \): \[ 7f(-7) = 7 \times 149 = 1043 \]

3. Final Calculation: Now we need to find \( f(-7) - 7f(-7) \): \[ f(-7) - 7f(-7) = 149 - 1043 \] \[ = -894 \]

Therefore, the final result is: \[ \boxed{-894} \]