Matematika

Pertanyaan

dik : f : R --> R , g : r --> R
fungsi f(x) = 5x - 2
g(x) = 3x + a
tent. Nilai a agar (fog)(x) = (gof)(x)

1 Jawaban

  • fog(x) = gof(x)
    f(g(x)) = g(f(x))
    5(3x + a) - 2 = 3(5x - 2) + a
    15x + 5a - 10 = 15x - 6 + a
    coret 15x
    5a - 10 = a - 6
    5a - a = -6 + 10
    4a = 4
    a = 1

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