Matematika

Pertanyaan

jika f(x) = 2x-1 dan (g o f)(x) = 4x^2 + 2x - 1. maka g(x)?

1 Jawaban

  • (g•f)(x)=4x²+2x-1
    g(f(x))=4x²+2x-1
    g(2x-1)=4x²+2x-1
    misalkan a=2x-1,maka x=a+1/2
    g(x)=4x²+2x-1
    g(a)=4(a+1/2)²+2(a+1/2)-1
    g(a)=4(a²+2a+1/4)+2a+2/2-1
    g(a)=4a²+2a+1/4)+2a+2/2-1
    g(a)=4a²+2a+1+4a+2-4/4
    g(a)=4a²+2a+4a+1+2-4/4
    g(a)=4a²+6a-1/4
    g(a)=a²+1½a-¼
    g(x)=x²+1½x-¼

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