Matematika

Pertanyaan

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Jika f(x)=x² dan (f ° g)(x) = x²-2x+1 maka g(3) ........

Jika f(x) = 7x-2 maka f–¹(x+1)......

Jika f(x) = x+2 dan g(x)=3x²+4x+1 maka (g ° f)(x)=....

1 Jawaban

  • f(x) = x^2
    f(x-1) = (x-1)^2 = x^2-2x+1 = f(g(x))
    g(x) = x -1
    g(3) = 3-1=2

    y=7x-2
    7x=y+2
    x=(y+2)/7
    f–¹(x) = (x+2)/7
    f–¹(x+1)=(x+3)/7

    g(f(x)) = 3(x+2)^2 +4(x+2)+1
    =3(x^2+4x+4)+4x+8+1
    =3x^2 +12x+12+4x+9
    =3x^2+16x+21

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