F (x) = 3x ^ 2-x + 2 및 g (x) = 5x ^ 2-1. f (g (x)) 란 무엇입니까?

F (x) = 3x ^ 2-x + 2 및 g (x) = 5x ^ 2-1. f (g (x)) 란 무엇입니까?
Anonim

대답:

#f (g (x)) = 75x ^ 4-35x ^ 2 + 6 #

설명:

# ""f (g) "를"f (x) # "에"g (x)

#rArrf (g (x)) #

2 - (색상 (적색) (5x ^ 2-1)) + 2 # (색상 (적색) (5x ^ 2-1)) =

# = 3 (25x ^ 4-10x ^ 2 + 1) -5x ^ 2 + 1 + 2 #

# = 75x ^ 4-30x ^ 2 + 3-5x ^ 2 + 1 + 2 #

# = 75x ^ 4-35x ^ 2 + 6 #