Matematika

Pertanyaan

Jika f(x) = 3x^2 -2x - 1 dan g(x) = √x-3 maka (fog)(4) =

2 Jawaban

  • ==> f(g(4))
    ==> f(g(4)=akar x-3 )
    ==> f(g(4)= akar 4-3 )
    ==> f( g(4) =1 )
    ==> f(1) = 3x^2 -2x -1
    ==> f(1) = 3(1)^2 -2(1) -1
    ==> f(1) = 3(1) -2(1) -1
    ==> f(1) = 3-2-1
    ==> f(1) = 0
  • (fog)(4) = f(g(4)
    (fog)(4) = f(√4 - 3)
    (fog)(4) = f(2 - 3)
    (fog)(4) = f(-1)
    (fog)(4) = 3(-1)² - 2(-1) - 1
    (fog)(4) = 3(1) + 2 - 1
    (fog)(4) = 3 + 2 - 1
    (fog)(4) = 4

    Jawabannya B. 4

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