Matematika

Pertanyaan

dik: f(x)=x-3 dan g(x)=x"+4 tentukan a). (fog) (x) dan b). (gof) (-4)

2 Jawaban

  • A. (fog) (x) = (x+4)-3
    = X+1 ---hasilnya

    B. (gof)(-4) = (x-3) + 4
    = (-4-3) + 4
    = -3 ---hasilnya
  • f(x) = x - 3
    g(x) = x² + 4
    a. (fog)(x)= g(x) - 3 = x² + 4 - 3 = x² + 1
    b. (gof)(x) = (f(x))² + 4 = (x-3)² + 4
    = x² - 6x + 9 + 4 = x² - 6x + 13

    (gof)(-4) = (-4)² - 6(-4) + 13
    = 16 + 24 + 13 = 53

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