Hello!
In this problem, we are using function arithmetic.
The term f(x) is given, which is 3x² - 2x + 1.
The term f(2) is not given, but we know half of what the function is asking for. The function of f is 3x² - 2x + 1, but we are needed to find f(2). This means we substitute x = 2 into f(x). After that, combine like terms.
f(x) + f(2)
3x² - 2x + 1 + 3(2)² - 2(2) + 1 (multiply)
3x² - 2x + 1 + 12 - 4 + 1 (simplify)
3x² - 2x + 10
Therefore, f(x) + f(2) is 3x² - 2x + 10.
