Matematika

Pertanyaan

jika diketahui f(x) = 2x-3 dan (gof)(x)= 4x^2-16x+18 makan g(x)=
jika diketahui f(x) = 2x-3 dan (gof)(x)= 4x^2-16x+18 makan g(x)=

1 Jawaban

  • gof = 4x²-16+18
    fx = 2x-3
    y = 2x-3
    2x = y+3
    x = y+3 / 2
    f'x = x+3 / 2

    g(fx) = 4x²-16x+18
    gx = 4f'x²-16f'x+18
    = 4(x+3/ 2)²-16(x+3 /2)+18
    = (x+3)²-8(x+3)+18
    = x²+6x+9-8x-24+18
    = x²-2x+3