fx = 3x + 10 gx = 5x hx = 6x²-4 tentukan a. (fog) (x) b. (gof)(x) c. (hof) (x)
Matematika
nabil463
Pertanyaan
fx = 3x + 10
gx = 5x
hx = 6x²-4
tentukan
a. (fog) (x)
b. (gof)(x)
c. (hof) (x)
gx = 5x
hx = 6x²-4
tentukan
a. (fog) (x)
b. (gof)(x)
c. (hof) (x)
1 Jawaban
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1. Jawaban Anonyme
Bab Fungsi Komposisi
Matematika SMA Kelas X
a] (fog) (x)
= f(g(x))
= f(5x)
= 3 (5x) + 10
= 15x + 10
b] (gof) (x)
= g(3x + 10)
= 5 (3x + 10)
= 15x + 50
c] (hof) (x)
= h (3x + 10)
= 6 (3x + 10)² - 4
= 6 (9x² + 60x + 100) - 4
= 54x² + 360x + 600 - 4
= 54x² + 360x + 596