Matematika

Pertanyaan

diketahui f(x)= 2x+3 dan g(x)=x²+x-2, maka nilai (gof) (-4)=

2 Jawaban

  • Bab Fungsi

    (g o f)(-4)
    = g(f(-4))
    = g(2(-4) + 3)
    = g(-8 + 3)
    = g(-5)
    = (-5)^2 + (-5) - 2
    = 25 - 5 - 2
    = 18
  • (gof)(x) = (2x + 3)^2 + (2x+3) - 2
    (gof)(x) = 4x^2 + 12x + 9 + 2x + 1
    (gof)(x) = 4x^2 + 14x + 10
    (gof)(-4) = 4(-4)^2 + 14(-4) + 10
    (gof)(-4) = 64 - 56 + 10
    (gof)(-4) = 18

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