Matematika

Pertanyaan

diketahui f(x) = 3x-6 dan g(x)=2x+a. bila (fog)(x) = (gof)(x) maka a=
a. 5
b. 1
c. -1
d. -5
e. -6

2 Jawaban

  • f○g(x) = g○f(x)
    f(2x+a)=g(3x-6)
    3(2x+a)-6=2(3x-6) +a
    6x+3a-6=6x-12+a
    6x-6x+3a-a=-12+6
    2a=-6
    a=-3
  • Langsung aja y

    (fog)(x) = f{g(x)}

    = 3g(x) - 6
    = 3(2x + a) - 6
    = 6x + 3a - 6

    (gof)(x) = g{f(x)}

    = 2f(x) + a
    = 2(3x - 6) + a
    = 6x - 12 + a

    (fog)(x) = (gof)(x)
    6x + 3a - 6 = 6x - 12 + a
    3a - 6 = -12 + a
    3a - a = -12 + 6
    2a = -6
    a = -3

    Jawaban gak ada

    semoga berguna +_+

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