Matematika

Pertanyaan

Jika g(x+2) = 2x-3, fog(x-2) = 4x2+8x+3
Tentukan f(-3)

1 Jawaban

  • g(x) = 2(x-2)-3
    = 2x-7

    (fog) (x) = 4(x+2)²+8(x+2)+3
    = 4(x²+4x+4)+8x+16+3
    = 4x²+24x+35

    (fog) (x) = 4x²+24x+35
    f(2x-7)= 4x²+24x+35
    misal t = 2x-7
    2x = t+7
    x= t+7 / 2
    = -3 + 7 / 2
    = 4/2
    =2

    f(2)= 4(2²)+24(2)+35
    = 16+48+35
    = 64+35
    = 96
    jadi hasilnya 96

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