Matematika

Pertanyaan

Jika (fog)((x)= 10x-8 dan g(x)= 2x+4 maka f^-1(x)=
A.5x+28
B.5x-28
C.x+28
D.x+14/2
E.x+28/5

1 Jawaban

  • (fog) (x) = 10x - 8
    f(g(x)) = 10x - 8
    f(2x + 4) = 10x - 8
    misal 2x + 4 = p maka x = (p - 4) / 2
    f(p) = 10( (p - 4) / 2) -8
    f(p) = 5(p - 4) - 8
    f(p) = 5p - 20 - 8
    f(x) = 5x - 28
    y = 5x - 28
    5x = y + 28
    x = (y + 28) / 5
    f(x) -ยน = (x + 28) / 5

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