Matematika

Pertanyaan

Fungsi f:R-->R ditentukan dengan rumus f(x)=5x+2 dan g:R-->R ditentukan demgan rumus g(x):6-7x tentukan (fog)8^-1(-3)

1 Jawaban

  • (fog)(x) = f(g(x)) = f(6-7x) = 5(6-7x)+2 = 30-35x+2 = 32 - 35x

    (fog)(x) = 32-35x
    y = 32-35 x
    -35x = 32 - y
    x = 32-y/-35
    x = -32+y/35
    (fog)^-1(x) = -32+x/35
    (fog)^-1(-3) = -32-3/35 = -35/35 = -1

Pertanyaan Lainnya