Matematika

Pertanyaan

diketahui f(x)=x+1 dan g(x)=2x-1 tentukan a).(fog)(-1) b).(fog)(3) c).(gof)(-2) d).(gof)(1) ?

2 Jawaban

  • a. (fog)(-1) = f(g(-1))
    = 2(-1)-1+1
    = -2-1+1 = -2

    b (fog)(3) = f(g(3))
    = 2(3)-1+1
    = 6-1+1 = 6

    c. (gof)(-2) = g(f(-2))
    = 2(-2+1)-1
    = -4+2-1 = -3

    d. (gof)(1) = g(f(1))
    = 2(1+1)-1
    = 2+2-1 = 3

    semoga membantu

            
  • Cari dulu (fog)(x) dan (gof)(x)
    f(g(x))=2x-1+1=2x dan g(f(x))=2(x+1)-1=2x+1, maka
    a. (fog)(-1)=2(-1)=-2
    b. (fog)(3)=2(3)=6
    c.  (gof)(-2)=2(-2)+1=-3
    d.  (gof)(1)=2(1)+1=3

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