To find f(2) for the function f(x) = 3x² + 2x + 7, we need to substitute x with 2 in the function’s equation.
Begin by plugging in 2:
f(2) = 3(2)² + 2(2) + 7
Now, calculate the components:
- First, calculate (2)², which equals 4.
- Next, multiply this by 3: 3 * 4 = 12.
- Then, calculate 2(2), which equals 4.
- Finally, we add the constant: 7.
Putting it all together:
f(2) = 12 + 4 + 7 = 23
Therefore, the value of f(2) is 23.