Given f, of, x, equals, 3x^2 +2 find f(-7)

1 answer

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, \( f(-7) = 149 \).