Matematika

Pertanyaan

Diketahui f(x)=1/2 (x-2)
g(x)=3x+5
Ditanya:
a) fog (-4)
b) gofog (x)

1 Jawaban

  • a) fog (-4) = f(g(-4))
    = f(3.(-4) + 5)
    = f(-12+5)
    = f(-7)
    = 1/2 (-7-2)
    = 1/2 x (-9)
    = -9/2

    b) gofog (x) = g(f(g(x)))
    = g(f(3x+5))
    = g(1/2(3x+5-2))
    = g(1/2(3x+3))
    = 3(1/2(3x+3))+5
    [tex] = \frac{(9x + 9)}{2} + 5[/tex]
    [tex] = \: \frac{9x + 19}{2} [/tex]

    Semoga membantu :)

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