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Math Help - Solving the Function composition

  1. #1
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    Post Solving the Function composition

    Given :

    f(h(x)) = \sqrt{(x^2+9)}

    and

    h(x) = x^2 + 9

    find : h(f(x))


    Thanks in advance
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  2. #2
    Junior Member BayernMunich's Avatar
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    Clearly, f(x)=\sqrt{x}.

    I think you can complete it.
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  3. #3
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    I'm a bit confused as to what the difficulty is. If you are told that
    f(h(x))= \sqrt{(x^2+ 9)} and that h(x)= x^2+ 9 then it should be obvious that f(x)= \sqrt{x}. From that, h(f(x))= (\sqrt{x})^2+ 9= x+ 9.
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  4. #4
    MHF Contributor
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    This is not a tricky problem. Please give some thought to why you are struggling with it. It requires ONLY an understanding of function notation.

    f(x)\;=\;\sqrt{x}

    You WILL want to worry about the Domain a little.
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  5. #5
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    O.o

    I didn't know this is that easy =.= I was thinking of something more complex



    Thx u all
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