Remember that, although it may look intimidating, (f+g)(x) is simply f(x) + g(x)
Therefore:
(f+g)(x) = f(x) + g(x) Substitute the functions for f(x) and g(x)
(f+g)(x) = (2x² + 1 )+ (x² - 7)
Notice that we first want to write the functions in as parenthesis before we add them. This helps us keep from getting confused on what signs to give each term.
(f+ g)(x) = 2x² + x² + 1 - 7 Collect like terms
(f + g) (x) = 3x² - 6
Answer is B
I belive it is a scientific theory
Answer B I’m not sure if it’s right
Consider for a moment building a tree with all possible choices. The first row would contain 8 books (each possible choice for the first book). Then, the second row would contain 7 books for each book in the first row (the choices possible for the second book). Otherwise, it would be 8*7. Following this principal, we continue to multiply down to 1. 8*7*6*5*4*3*2*1. This is also known as 8!, a factorial.
Finally, 8! = 40,320
