Matematika

Pertanyaan

diketahui(f°g)(x)=x²+4jika g (x)=x-1,f(x)=

2 Jawaban

  • (fog)(x)=x²+4
     g (x)=x-1
    f(g(x))=
    x²+4
    f((x-1))=x²+4

    misal
    p=x-1
    x=p+1

    f(p+1)=(p+1)^2 +4
             = p^2 + 2p + 1 + 4
             = p^2 + 2p + 5

    f(x)=X^2 + 2x + 5

    Mohon dikoreksi apabila salah


  • (fog)(x) = f(g(x)) = x² + 4

    misal :
    x - 1 = p
    p + 1 = x

    f(x - 1) = x² + 4
    f(p) = (p + 1)² + 4
    f(p) = p² + 2p + 1 + 4
    f(p) = p² + 2p + 5
    jadi f(x) = x² + 2x + 5

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