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    tgee's Avatar
    tgee Posts: 1, Reputation: 1
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    #1

    Mar 21, 2007, 11:14 AM
    Algebra of Functions
    Please help!

    How would I solve for the following:

    If s = u(t) = -2t^2 + 2t +1, and t = v(x) = 3x - 1, determine each of the following.

    u(v(x))



    v(u(t))



    Thank you.
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #2

    Mar 21, 2007, 11:19 AM
    simply substitute it in.

    So for u(v(x)) you can see that t = v(x) so t = 3x - 1

    so you are finding u(3x-1)

    which is u(3x-1) = -2(3x-1)^2 + 2(3x-1) + 1

    now you can expand and simplify.

    You can do v(u(t)) now too!
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