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Math Help - f o g functions

  1. #1
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    f o g functions

    Express the function in the form f g. (Use only elementary functions, but not the identity function, g(x) = x.)


    AND

    Express the function in the form f g h. (Use only elementary functions, but not the identity function, g(x) = x.)

    H(x) = 3 - 4^x^2

    I am not sure how to start these or even what they are asking for...any help would be greatly appreciated!
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  2. #2
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    ..

    mod plz delete
    Last edited by pickslides; January 19th 2010 at 01:22 PM. Reason: wrong info
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  3. #3
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    Do these work?
    f(x) = \frac{{5 + x}}{{10 + x}}\,\& \,g(x) = \cos (x) - 5
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  4. #4
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    Hello,l ryan18!

    I think I understand the problem . . .


    Express the function in the form f \circ g

    . . u(t) \;=\;\frac{\cos(t)}{5+\cos(t)}

    . . \begin{array}{ccc}f(t) &=& \dfrac{t}{5+t} \\ \\[-3mm] g(t) &=& \cos(t) \end{array}




    Express the function in the form f\circ g \circ h

    . . \begin{array}{ccc}f(t) &=&\dfrac{t-5}{t} \\ \\[-3mm] g(t) &=& 5 + t \\ \\[-3mm] h(t) &=& \cos(t) \end{array}

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  5. #5
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    Quote Originally Posted by ryan18 View Post
    Express the function in the form f g h. (Use only elementary functions, but not the identity function, g(x) = x.)

    H(x) = 3 - 4^x^2
    h(x) = x^2

    g(x) = 4^x

    f(x) = 3 - x

    f[g[h(x)]] = f[g(x^2)] = f(4^{x^2}) = 3-4^{x^2}
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