diketahui f(x) = 2x^2-3x+6 dan (g°f)(x) = 10x^2-15x+32. Nilai g(-1) = ………
Matematika
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Pertanyaan
diketahui f(x) = 2x^2-3x+6 dan (g°f)(x) = 10x^2-15x+32. Nilai g(-1) = ………
1 Jawaban
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1. Jawaban dhikboss
(gof)(x) = 10x² - 15x + 32
g(f(x)) = 10x² - 15x + 32
g(2x² - 3x + 6) = 10x² - 15x + 32
Misal 2x² - 3x + 6 = a
2x² - 3x = a - 6
g(2x² - 3x + 6) = 5(2x² - 3x) + 32
g(a) = 5(a - 6) + 32
= 5a - 30 + 32
= 5a + 2
g(x) = 5x + 2
g(-1) = 5(-1) + 2 = -3