Matematika

Pertanyaan

F(×) = 2x-1 dan g(×) = 3X²-3x+2

2 Jawaban

  • itu materi komposisi fungsi kah?

    FoG (x) = g (f(x))
    = g (2x-1)
    = 3 (2x-1)² - 3(2x-1) + 2
    = 3 (2x-1) (2x-1) - 6x + 3 + 2
    = 3 (4x²-2x-2x+1) - 6x + 3 + 2
    = 3 (4x²+4x+1) - 6x + 5
    = 12x² + 12x + 3 - 6x + 5
    G(x) = 12x² + 6x + 8

    semoga membantu...

  • langsung aja y

    (fog)(x) = f{g(x)}
    = 2g(x) - 1
    = 2(3x² - 3x + 2) - 1
    = 6x² - 6x + 4 - 1
    = 6x² - 6x + 3

    (gof)(x) = g{f(x)}
    = 3f(x)² - 3f(x) + 2
    = 3(2x-1)² - 3(2x-1) + 2
    = 3(4x²-4x+1) - 3(2x-1) + 2
    = 12x² - 12x + 3 - 6x + 3 + 2
    = 12x² - 18x + 8

    semoga berguna +_+

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