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Math Help - composition of function

  1. #1
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    composition of function

    If f(x) = 1/(2x) and g(x) = 3+x find (and simplify) the defining equation of the composition function g \circle f .

    I don't have any idea how to combine these two functions, can anyone help?
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  2. #2
    MHF Contributor red_dog's Avatar
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    (g\circ f)(x)=g(f(x))=g\left(\frac{1}{2x}\right)=3+\frac{1  }{2x}=\frac{6x+1}{2x}
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  3. #3
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    Quote Originally Posted by 14041471 View Post
    If f(x) = 1/(2x) and g(x) = 3+x find (and simplify) the defining equation of the composition function g \circle f .

    I don't have any idea how to combine these two functions, can anyone help?
    g[f(x)] = g\left[\frac{1}{2x}\right] = 3 + \frac{1}{2x} = \frac{6x+1}{2x}
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