f(x)=2x+3. g(x)=3x2-2x+5. nilai gof (-2)
Matematika
darwis369
Pertanyaan
f(x)=2x+3. g(x)=3x2-2x+5. nilai gof (-2)
1 Jawaban
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1. Jawaban amak29
(g o f)(x)= g(f(x))
= g(2x + 3)
= 3(2x+3)² - 2(2x + 3) + 5
= 3(2x+3)(2x+3) - 2(2x+3) + 5
= 3(4x² + 12x + 9) - 4x - 6 + 5
= 12x² + 36x + 27 - 4x - 6 + 5
=12x² + 36x - 4x + 27 - 6 + 5
= 12x² + 32x + 26
(g o f)(-2) = 12(-2)² + 32(-2) + 26
= 12 (4) - 64 + 26
= 48 - 64 + 26 = 10