Matematika

Pertanyaan

jika f(x) = 2x-1,g(x) = x²+2 dan h(x) = 1 dibagi x-1, komposisi fungsi (g o h o f) (x)=
tolong jawab
jika f(x) = 2x-1,g(x) = x²+2 dan h(x) = 1 dibagi x-1, komposisi fungsi (g o h o f) (x)= tolong jawab

1 Jawaban

  • (g o h o f) (x)=g ( h ( f))(x)
    = (g (h (2x-1))
    = g ( 1/ (2x -1)-1)
    = g ( 1/(2x-2))
    = ( 1/(2x-2))^2+2
    = 1/(4x^2 -8x +4) +2
    =(1+8x^2-16x +8)/(4x^2 -8x +4)
    =(8x^2-16x +9) /(4x^2 -8x +4)

    jawaban C