Matematika

Pertanyaan

Jika f : R --> R dan g : R --> R ditentukan oleh f(x) = 2x^2 + 5x dan g(x) = 1/x maka (f ° g)(2) = …

1 Jawaban

  • g(x) = 1/x
    g(2) = 1/2

    f(x) = 2x^2 + 5x
    f(1/2) = 2×(1/2)^2 + 5×(1/2)
    f(1/2) =2 × 1/4 + 5/2
    f(1/2) = 1/2 + 5/2
    f(1/2) =6/2
    f(1/2) = 3


    f○g(2) = f(g(2)) = f(1/2) = 3

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