Matematika

Pertanyaan

f(x) = x-2
g(x) = 3x+5
tentukan (g • f)^-1 (x)

1 Jawaban

  • f(x) = x-2
    g(x) = 3x+5
    (g0f)(x) = g(f(x)) = g(x-2) = 3(x-2) + 5 = 3x-6+5 = 3x-1
    Misal y = (g0f)(x)
    (g0f)(x) = 3x-1
    y = 3x-1
    3x = -y - 1
    x = -y/3 - 1/3
    (g0f)(x) = -x-1
                    3

Pertanyaan Lainnya