Matematika

Pertanyaan

Dik f(x)=4-2x,g(x)=3x-1,danh(x)=5x+2 tentukan
A. (Fogoh (3))
B.(gofoh(2))
C.(hogof(1))

1 Jawaban

  • a. (f o g o h(3)) = f o g (h(3))
    ===========> = f o g (5(3) + 2)
    ===========> = f (g (15 + 2))
    ===========> = f (g (17))
    ===========> = f (3 (17) - 1)
    ===========> = f (51 - 1)
    ===========> = f (50)
    ===========> = 4 - 2 (50)
    ===========> = 4 - 100 = -96

    b. (g o f o h(2)) = g o f (h(2))
    ===========> = g o f (5(2) + 2)
    ===========> = g (f (10 + 2))
    ===========> = g (f (12))
    ===========> = g (4 - 2(12))
    ===========> = g (4 - 24)
    ===========> = g (-20)
    ===========> = 3 (-20) - 1
    ===========> = -60 - 1 = -61

    c. (h o g o f(1)) = h o g (f(1))
    ===========> = h o g (4 - 2(1))
    ===========> = h (g (4 -2))
    ===========> = h (g (2))
    ===========> = h (3(2) - 1)
    ===========> = h (6 - 1)
    ===========> = h (5)
    ===========> = 5(5) + 2
    ===========> = 25 + 2 = 27

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