1. diketahui = f (x) = 2x + 3 dan g (x) = 3x² - 1 tentukan A. fog (x) B. gof (x) C. fog (2) D. gof (-3) Tolong jawab sekarang
Matematika
nesi10
Pertanyaan
1. diketahui = f (x) = 2x + 3 dan g (x) = 3x² - 1 tentukan
A. fog (x)
B. gof (x)
C. fog (2)
D. gof (-3)
Tolong jawab sekarang
A. fog (x)
B. gof (x)
C. fog (2)
D. gof (-3)
Tolong jawab sekarang
1 Jawaban
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1. Jawaban Anonyme
Bab Fungsi Komposisi
Matematika SMA Kelas X
A[ (fog) (x) = f(3x² - 1)
= 2 (3x² - 1) + 3
= 6x² - 2 + 3
= 6x² + 1
B] (gof) (x) = g(2x + 3)
= 3(2x + 3)² - 1
= 3 (4x² + 12x + 9) - 1
= 12x² + 36x + 27 - 1
= 12x² + 36x + 26
C] (fog) (2) = 6 . 2² + 1
= 6 . 4 + 1
= 24 + 1
= 25
D] (gof) (-3) = 12 (-3)² + 36 . (-3) + 26
= 12 . 9 - 108 + 26
= 108 - 108 + 26
= 26