Matematika

Pertanyaan

Diketahui F : R-> R, g:R -> g(x)=2×+3 dan (fog) (x)=(2×2+32×+26 Rumus f(×)=.......

1 Jawaban

  • g(x) = 2x + 3

    Misalkan :
    y = 2x + 3
    y - 3 = 2x
    (y-3)/2 = x

    (f o g) (x) = 2x² + 32x + 26
    f(2x+3) = 2x² + 32x + 26
    f(x) = 2((y-3)/2)² + 32(y-3)/2 + 26
    f(x) = 2 (y² - 6y + 9)/4 + 16(y-3) + 26
    f(x) = (y² - 6y + 9)/2 + 16y - 48 + 26
    f(x) = (x² - 6x + 9)/2 + 16x - 22
    f(x) = (x² - 6x + 9 + 32x - 44)/2
    f(x) = (x² + 26x - 35)/2

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