Matematika

Pertanyaan

jika f(x)=x dan g(x)= 3x-4 maka (nilai g invers bundaran f invers) (8) adalah

2 Jawaban

  • f(x) = x ─> f^-1(x) = x
    g(x) = 3x - 4 ─> g^-1(x) = (x + 4)/3

    (g^-1 o f^-1)(8) = g^-1(x) * f^-1(x)
    = x * (x + 4)/3
    = 8 * (8 + 4)/3
    = 32
  • (f o g)(x) = f(g(x)) = f(3x - 4) = 3x - 4
    3x - 4 = y
    3x = y + 4
    x = (y + 4)/3
    (f o g)^-1(x) = (x + 4)/3
    (g^-1 o f^-1)(x) = (x + 4)/3
    (g^-1 o f^-1)(8) = (8 + 4)/3 = (12)/3 = 4

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