Matematika

Pertanyaan

f(x)=2x+3. g(x)=3x2-2x+5. nilai gof (-2)

1 Jawaban

  • (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
      

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