1.diketahu f(x) = 3x + 10 , g(x) = 5x , dan h(x) = 6x^ - 4 . cari lah : a.(fog)(x) d.(goh)(x) b.(gof)(x) e.(fog)oh c.(hof)(x)
Matematika
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Pertanyaan
1.diketahu f(x) = 3x + 10 , g(x) = 5x , dan h(x) = 6x^ - 4 . cari lah : a.(fog)(x) d.(goh)(x) b.(gof)(x) e.(fog)oh c.(hof)(x) f.fo (goh)
1 Jawaban
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1. Jawaban SodiqMaulana
A. fog (x) = 3(5x) + 10
= 15x + 10
B. goh (x) = 5(6x² - 4)
= 30x² - 4
C. hof (x) = 6(3x + 10)² - 4
=6(9x² + 60x + 100) - 4
= 54x² + 360x + 600 - 4
= 54x² + 360x + 596
D. goh (x) = 5(6x² - 4)
= 30x² - 20
E. fog (x) = 15x + 10
jadi (fog)oh = 15(6x²- 4)
= 90x² - 60
F. goh (x) = 30x² - 4
jadi fo(goh) = 3(30x² - 4) + 10
= 90x² - 12 + 10
= 90x² - 2