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Let f(x) = 6/x-1 and g(x) = 1+3/x. Please find the composite function of (fog)(x)

  • Algebra -

    (fog)(x) is a notation for substituting g(x) for x in the definition of f(x), in other words,
    (fog)(x) = f(g(x))

    Using f(x) = 6/x-1
    and g(x) = 1+3/x
    you would find
    = f(g(x))
    = 6/g(x) -1
    = 6/(1+3/x) - 1
    = (5x-3)/(x+3)

  • Algebra -

    So in other words the final answer would be what? I got 2x. Is this correct?

  • Algebra -

    I got (5x-3)/(x+3).

    Can you show me how you got 2x?

  • Algebra -

    Actually, it slipped my memory:

    There is probably a mis-interpretation of the parentheses:
    f(x) = 6/(x-1) and g(x) = 1+3/x
    f º g (x)
    If this is the case, the answer is (A).


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