Matematika

Pertanyaan

Jika f(2x+a)=3x+4a Dan f(a)=2,makq f(1)=…

1 Jawaban

  • f(2x + a) = 3x + 4a
    misalkan y = 2x + a
                   x = (y - a)/2
    f(y) = 3[y - a]/2 + 4a
    f(y) = 3y/2 - 3a/2 + 8a/2
    f(y) = 3y/2 + 5a/2

    f(a) = 2
    3a/2 + 5a/2 = 2
    8a/2 = 2
    8a = 4
    a = 4/8
    a = 1/2

    jadi f(y) = 3y/2 + 5/4
    f(1) = 3/2 + 5/4
    f(1) = 6/4 + 5/4
    f(1) = 11/4

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