Let f (x) = 3x ^ 2-x + 2 dan g (x) = 5x ^ 2-1. Apakah f (g (x))?

Let f (x) = 3x ^ 2-x + 2 dan g (x) = 5x ^ 2-1. Apakah f (g (x))?
Anonim

Jawapan:

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

Penjelasan:

# "untuk mendapatkan" f (g (x)) "ganti" g (x) "ke dalam" f (x) #

#rArrf (g (x)) #

# = f (warna (merah) (5x ^ 2-1)) = 3 (warna (merah) (5x ^ 2-1)) ^ 2- (warna (merah) (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 #