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    Elle 06's Avatar
    Elle 06 Posts: 1, Reputation: 1
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    #1

    Nov 20, 2008, 03:49 PM
    composite functions
    someone help me this is for an assignment and I've been having problems with this question

    Given that f(x)=3x + 1 and g(x)=5x + k,find k if fg(x)=gf(x).and the last part to this question is check that a is correct by showing that fg(3)=gf(3) :rolleyes:
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Nov 20, 2008, 05:29 PM
    By fg(x) and gf(x), I assume you mean f(g(x)) and g(f(x))?

    If so, it is a composite. Insert g into f and f into g, equate, and solve for k.





    Now, set equal and find k.
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