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    bajanmar's Avatar
    bajanmar Posts: 1, Reputation: 1
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    #1

    Jan 21, 2009, 01:33 PM
    Composite Functions
    please help me. Explain this example step by step. Am having difficulty following the steps.I am in adult education.
    The functions of f and g are defined by f(x)=2x=3/x-1 and g(x) =3x+1
    (a) calculate f(-1) and g(1/2
    (b)Determine the value of fg(1/3)
    tomekdang's Avatar
    tomekdang Posts: 5, Reputation: 2
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    #2

    Jan 22, 2009, 09:03 AM
    can you write clearer ? f(x) = 2x = 3/x -1 or f(x) = 2x +3/x -1 ?
    Anyway, I'll try with f(x) = 2x + 3/x -1
    (a) calculate f(-1) and g(1/2)
    with this question you just calculate like that
    f(-1) = 2.(-1) + 3/(-1) -1 = -2 - 3 - 1 =-6
    g(1/2) = 3.1/2 + 1 = 5/2
    (b) Determine the value of f(g(1/3))
    it mean you calculate the g(1/3) first
    g(1/3) = 3.1/3 +1 = 2
    then calculate f(g(1/3)) later
    f(g(1/3)) = f(2) (cause g(1/3) = 2 which we calculate up there )
    => f(2) = 2.2 +3/2 -1 = 9/2
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