Find ( f + g)(x).f (x) = 6x² + 6x + 1g(x) = -4x² - 4x + 3 A)( f + g)(x) = 10x⁴ + 10x² - 2 B)( f + g)(x) = 2x⁴ + 2x² + 4 C)( f + g)(x) = 10x² + 10x - 2 D)( f + g)(x) = 2x² + 2x + 4 E)( f + g)(x) = -2x² - 2x - 4

Question

Quizplus · Accepted Answer

To find $ (f + g)(x) $, you add the corresponding terms of $ f(x) $ and $ g(x) $ together. $ f(x) = 6x^{12} + 6x + 1 $ and $ g(x) = -4x^{12} - 4x + 3 $. Adding these gives $ (6 - 4)x^{12} + (6 - 4)x + (1 + 3) = 2x^{12} + 2x + 4 $.

Find ( F + G)(x)