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    phoenirius's Avatar
    phoenirius Posts: 34, Reputation: 1
    Junior Member
     
    #1

    Jan 24, 2006, 02:50 PM
    Solving Functions
    Knowing f(x)=x^2+x and g(x)=2x+1 how would you solve f(g(x)) and
    (g (circle) f)(4)??

    How do you determine the f^(-1) of f(x)=3x-2?
    Is x+2/3 correct?

    Thanks
    reinsuranc's Avatar
    reinsuranc Posts: 92, Reputation: 6
    Junior Member
     
    #2

    Jan 25, 2006, 08:39 PM
    My attempt - two out of three
    A.
    f(u)=u^2+u and g(x)=2x+1
    Let u=g(x)=2x+1
    f(g(x))=f(u)=(2x+1)^2+(2x+1).


    B.
    I don't understand the next part of the problem.
    You have not defined g(circle)f.


    C.
    y=f(x)=3x-2
    x=(y+2)/3=f^(-1)
    Damian616's Avatar
    Damian616 Posts: 2, Reputation: 1
    New Member
     
    #3

    Mar 31, 2010, 11:19 AM
    Let f(x)=5x^2-4x and g(x)=5x+1
    Damian616's Avatar
    Damian616 Posts: 2, Reputation: 1
    New Member
     
    #4

    Mar 31, 2010, 11:19 AM
    Let f(x)=5x^2-4x and g(x)=5x+1
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
     
    #5

    Mar 31, 2010, 10:53 PM

    Damian616, please, start your own thread.
    InfoJunkie4Life's Avatar
    InfoJunkie4Life Posts: 1,409, Reputation: 81
    Ultra Member
     
    #6

    Apr 1, 2010, 01:51 PM

    The circle thing can be read as "of"

    It is just a different form of notation...

    it will be the same as g of f of x.

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