Matematika

Pertanyaan

Diketahui :
f(x)= 2x+1
g(x)=x+2 / 2x-3
nilai (f°g)(1)=.....

2 Jawaban

  • (f o g)(x) = 2(x+2/2x-3) + 1 = (2x+4/2x-3) + 1

    (f o g)(1) = (2.1+4/2.1 - 3) + 1 = (6/-1) +1 = -6+1 = -5
  • Materi : Fungsi Komposisi

    f(x) = 2x + 1
    g(x) = (x + 2) / (2x - 3)

    maka
    g(1) = (1 + 2) / (2(1) - 3)
    g(1) = 3/-1 = -3

    f(-3) = 2(-3) + 1
    f(-3) = -6 + 1
    f(-3) = -5

    jadi 
    (fog)(1) 
    = f(g(1))
    = f(-3)
    = -5

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