Matematika

Pertanyaan

Jika diketahui f(x)=x kuadrat
g(x)=(x-1)
Tentukan:
a.(fog)(x)
b.(gof)(x)

Tolong di jawab

2 Jawaban

  • f(x) = x²
    g(x) = (x - 1)

    a. (fog)(x) = f(g(x))
                     = (x - 1)²
                     = x² - 2x + 1

    b. (gof)(x) = (g(f(x))
                     = x² - 1
  • Fungsi Komposisi

    f(x) = x²
    g(x) = x - 1

    (fog)(x) = (x - 1)² = x² - 2x + 1 ✔

    (gof)(x) = x² - 1 ✔

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