Laat f (x) = 3x ^ 2-x + 2 en g (x) = 5x ^ 2-1. Wat is f (g (x))?

Laat f (x) = 3x ^ 2-x + 2 en g (x) = 5x ^ 2-1. Wat is f (g (x))?
Anonim

Antwoord:

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

Uitleg:

# "om" f (g (x)) "te verkrijgen" vervangt "g (x)" in "f (x) #

#rArrf (g (x)) #

# = F ((rood) (5x ^ 2-1)) = 3 (kleuren (rood) (5x ^ 2-1)) ^ 2- ((rood) (5x ^ 2-1)) + 2 #

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

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

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