Matematika

Pertanyaan

diketahui g(x) =x^2+x+2 dan (fog)(x) =2 x^2 +2x+5 nilai f(x)

2 Jawaban

  • fog(x) = f(g(x))

    f(x^2 + x + 2) = 2x^2 + 2x + 5
    f(x^2 + x + 2) = 2x^2 + 2x + 4 + 1
    f(x^2 + x + 2) = 2(x^2 + x + 2) + 1
    f(x) = 2x + 1
  • Langsung aja y

    (fog)(x) = f{g(x)}
    2x² + 2x + 5 = f(x² + x + 2)
    2(x² + x + 2) + 1 = f(x² + x + 2)
    2x + 1 = f(x)

    Atau
    f(x) = 2x + 1

    Semoga berguna +_+

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