Matematika

Pertanyaan

diketahui invers f(x) = 3x²+2 dan invers g(x) = √x+1, x≥-1. Rumus dari invers (gof)(x)= ...

1 Jawaban

  • (g o f)(x) = 3(√x + 1)² + 2
    (g o f)(x) = 3(x + 1) + 2
    (g o f)(x) = 3x + 3 + 2
    (g o f)(x) = 3x + 5
    y = 3x + 5
    3x = y - 5
    x = (y - 5) / 3
    (g o f)-¹(x) = (x - 5) / 3

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