Matematika

Pertanyaan

tolong yaa pakai caraa
tolong yaa pakai caraa

2 Jawaban

  • g(x) = 3x - 4
    y = 3x - 4
    y + 4 = 3x
    x = (y + 4) / 3
    g^-1(x) = (x + 4) / 3

    ----------------------

    f(x) = x^3
    y = x^3
    x = ^3 √y (akar pngkt 3 dr y)
    f^(-1)(x) = ^3 √x


    (g^-1 o f^-1)(8)
    = g^-1 ( f^-1(8))
    = g^-1 ( ^3 √8)
    = g^-1 (2)
    = (2 + 4) /3
    = 6/3
    = 2
  • f(x) = x^3, g(x) = 3x - 4
    (f o g)(x) = f(g(x)) = f(3x - 4) = (3x - 4)^3
    (3x - 4)^3 = y
    3x - 4 = y^1/3
    3x = y^1/3 + 4
    x = 1/3 (y^1/3 + 4)
    (f o g)^-1(x) = 1/3 (x^1/3 + 4)
    (g^-1 o f^-1)(x) = 1/3 (x^1/3 + 4)
    (g^-1 o f^-1)(8) = 1/3 (8^1/3 + 4)
    = 1/3 (2^3(1/3) + 4)
    = 1/3 (2 + 4)
    = 1/3 (6)
    = 2