Matematika

Pertanyaan

Tolong dibantu ya, tentukan dulu fungsi (fog) (x) kemudian inverskan
Tolong dibantu ya, tentukan dulu fungsi (fog) (x) kemudian inverskan

1 Jawaban

  • f(x) = 5x + 2
    g(x) = 6 - 7x
    (f○g)(x) = f(g(x))
    = f(6 - 7x)
    = 5(6 - 7x) + 2
    = 30 - 35x + 2
    = 32 - 35x
    (f○g)(x) = 32 - 35x
    y = 32 - 35x
    35x = 32 - y
    x = (32 - y)/35
    (f○g)^-1(x) = (32 - x)/35
    (f○g)^-1(-3) = (32 - (-3))/35
    = (32 + 3)/35
    = 35/35
    = 1