Matematika

Pertanyaan

diketahui fungsi f(x)=2x+1 , g(x)=x²+2 dan h(x)=x+1 . tentukan [ho(gof)(2)

1 Jawaban

  • gof = g(f(x)
    gof =
    [tex] {(2x + 1)}^{2} + 2[/tex]
    gof = (2x+1)(2x+1)+2
    gof = 4x^2 +2x+2x+1 +2
    gof = 4x^2+4x+3

    hogof = (4x^2+4x+3)+1
    = 4x^2+4x+4
    hogof (2) = 4(2)^2 +4(2)+4
    hogof = 8+8+4
    hogof = 16+4= 20

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