Matematika

Pertanyaan

Diketahui f( 2x - 1 ) = 8x pangkat 2 + x + 5 dan g(x + 7 ) = 3x + 1 tentukan:
A. F(x) dan g(x)
B. (f + g) (x)
C. (f x g) (-2)

1 Jawaban

  • Langsung aja y

    A.
    f(2x-1) = 8x
    misal :
    2x - 1 = a
    x = a+1 / 2

    f(a) = 8(a+1 / 2)
    f(a) = 4(a+1)
    f(a) = 4a + 4

    f(x) = 4x + 4

    g(x+7) = 3x + 1
    misal :
    x + 7 = a
    x = a-7

    g(a) = 3(a-7) + 1
    g(a) = 3a - 21 + 1

    g(x) = 3x - 20

    B.
    (f+g)(x) = f(x) + g(x)

    = (4x + 4) + (3x - 20)
    = 7x - 16

    C.
    (f×g)(-2) = f(-2) × g(-2)

    = (4x + 4) × (3x - 20)
    = (4.(-2) + 4) × (3.(-2) - 20)
    = (-8 + 4) × (-6 - 20)
    = -4 × -26
    = 104

    Semoga berguna +_+

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