To evaluate f(x) + g(x) for x = 3, we first need to find the values of f(x) and g(x) separately, and then add them together.
Given:
f(x) = 3x² - 5x
g(x) = 2x - 3
1. Find f(x) when x = 3:
f(3) = 3(3)² - 5(3)
f(3) = 3(9) - 15
f(3) = 27 - 15
f(3) = 12
2. Find g(x) when x = 3:
g(3) = 2(3) - 3
g(3) = 6 - 3
g(3) = 3
3. Add f(3) and g(3) together to find f(3) + g(3):
f(3) + g(3) = 12 + 3
f(3) + g(3) = 15
Therefore, the correct answer is:
B. 15
