Matematika

Pertanyaan

Bantu nomer 4 dan 5 ya kak.
Makasih
Bantu nomer 4 dan 5 ya kak. Makasih

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1 Jawaban

  • No. 4

    [tex](f\circ g)(x) = 4x^2 + 12x + 14 \\ f(g(x)) = 4x^2 + 12x + 14 \\ \left ( g(x) \right )^2 + 5 = 4x^2 + 12x + 14 \\ \left ( g(x) \right )^2 = 4x^2 + 12x + 9 \: (*) \\ \left ( g(x) \right )^2 = \left ( 2x+3 \right )^2 \\ g(x) = 2x + 3[/tex]

    [tex](*) \\ 4x^2 + 12x + 9 \\ 4x^2 + 6x + 6x + 9 \\ (4x^2 + 6x) + (6x + 9) \\ 2x(2x + 3) + 3 (2x + 3) \\ (2x+3)(2x+3) \\ (2x+3)^2[/tex]

    No. 5

    [tex](f\circ g)(x) = 4x^2 + 8x + 4 \\ f(g(x)) = 4x^2 + 8x + 4 \\ f(2x + 3) = 4x^2 + 8x + 4 \\ f(2x + 3) = 4x^2 + 12x - 4x + 9 - 5 \\ f(2x + 3) = (4x^2 + 12x + 9) - (4x + 5) \\ f(2x + 3) = (4x^2 + 12x + 9) - (4x + 6 - 1) \\ f(2x + 3) = (4x^2 + 12x + 9) - (4x + 6) + 1 \\ f(2x + 3) = (2x + 3)^2 -2(2x+3) +1 \\ f(x) = x^2 -2x + 1[/tex]

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