Matematika

Pertanyaan

jika f(x)=x^2 + 1 dan g(x)==x+2/2, maka nilai (f•g)(2) adalah...

*ini caranya langsung masukkan g ke f nya atau masukkan nilai 2 nya dulu ke g?

2 Jawaban

  • Langsung aja y

    (fog)(x) = f{g(x)}

    = g(x)² + 1
    = (x+2 / 2)² + 1
    = (x² + 4x + 4 / 4) + 1
    = (x² + 4x + 4 + 4) / 4
    = (x² + 4x + 8) / 4

    (fog)(2) = (2² + 4.2 + 8) / 4
    (fog)(2) = (4 + 8 + 8) / 4
    (fog)(2) = 20 / 4
    (fog)(2) = 5

    semoga berguna +_+
  • (f o g)(2) = f(g(2))
    = f((2 + 2)/2)
    = f(4/2)
    = f(2)
    = 2^2 + 1
    = 4 + 1
    = 5

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