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Math Help - Composition of functions

  1. #1
    Junior Member
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    Composition of functions

    Hi, I'm having a bit of trouble with the following question:
    Given the following, find:

    f = 10 sin (11x)

    g = (11-x)/(1+x)

    Find (g o f)

    I'm really confused with this problem, and have attempted it numerous times. I would greatly appreciate any help
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  2. #2
    Member Traveller's Avatar
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    Interpret it as f(x) = 10sin(11x) and g(x) = (11 - y )/(1 + y ) where y = f(x).
    Last edited by Traveller; September 22nd 2010 at 10:25 PM. Reason: copied the function wrong :P
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  3. #3
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    Hello, spoc21!

    Do you know what a composite function is?


    \text{Given: }\;\begin{Bmatrix}f(x) &=& 10\sin11x \\ \\[-3mm]<br />
g(x) &=& \dfrac{11-x}{1+x} \end{Bmatrix}

    \text{Find }\,(g\,\circ\, f)

    We have: . g\,\circ\,f \;=\;g(f(x)) \;=\;g\left(10\sin11x\right) \;=\; \dfrac{11 - 10\sin11x}{1 + 10\sin11x}

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