Final answer:
To find (f + g)(x), add the like terms in f(x) and g(x) separately, and then combine the results.
Step-by-step explanation:
To find (f + g)(x), we need to add the two functions f(x) and g(x). Adding two functions means adding their respective terms.
f(x) = 4x2 + 5x - 3
g(x) = 4x2 - 3x2 + 5
When adding the like terms, the x2 terms result in 4x2 + 4x2 = 8x2. Then, adding the x terms gives us 5x - 3x2 = 2x. Finally, the constants add up to -3 + 5 = 2. Therefore, (f + g)(x) = 8x2 + 2x + 2.