Matematika

Pertanyaan

(F0g)(x) =xkuadrat + 3x + 4. g(x) = 4×-5.
Tentukan f(x) dan f(3)

1 Jawaban

  • jwab

    fungsi
    fog(x) = x² + 3x + 4
    g(x) = 4x - 5
    f { g(x)}= x² + 3x + 4
    f(4x-5) = x²+ 3x + 4
    f(x) = {(x +5)/4 }²+ 3 (x+ 5)/4 + 4
    f(x) = 1/16 (x + 5)² + 3/4 (x + 5) + 4
    f(x) = 1/16 { x² + 10x + 25 + 12 x+ 60 + 64)
    f(x) = 1/16 (x² + 22x + 149)

    f(3) = 1/16 ( 9+ 66 + 149)=  14  

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