To find \( f(-7) \) for the function \( f(x) = 3x^2 + 2 \), we can substitute \(-7\) into the function:
\[ f(-7) = 3(-7)^2 + 2 \]
Now, calculate \((-7)^2\):
\[ (-7)^2 = 49 \]
Now substitute this back into the equation:
\[ f(-7) = 3(49) + 2 \]
Now multiply:
\[ 3(49) = 147 \]
Add \(2\):
\[ f(-7) = 147 + 2 = 149 \]
Therefore, \( f(-7) = 149 \).