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    meggie_loo_2's Avatar
    meggie_loo_2 Posts: 2, Reputation: 1
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    #1

    Jun 25, 2007, 06:36 PM
    Pre Calculus
    I am having a lot of trouble with some summer pre-cal work I have to do. Can someone please help.

    The directions are:
    Find the domain and list in interval notation:

    a) 3x+1

    b) 3x+1
    x^2-2x

    c) sqrt(3x+1)

    Please HELP!!

    And other thats has really stumped me:

    All its says is--

    Expand (3+2y)^3

    And one more:
    Factor (8x^3-27)
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #2

    Jun 25, 2007, 11:38 PM
    Well, you'll need to tell us how far you have got with these, we will not give you the answers outright.

    This one is fairly easy: Expand (3+2y)^3

    Just write it out as (3+2y)(3+2y)(3+2y) and multiply it together in pieces. That's not even pre-calc.
    meggie_loo_2's Avatar
    meggie_loo_2 Posts: 2, Reputation: 1
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    #3

    Jun 26, 2007, 02:16 AM
    Quote Originally Posted by Capuchin
    Well, you'll need to tell us how far you have got with these, we will not give you the answers outright.

    This one is fairly easy: Expand (3+2y)^3

    Just write it out as (3+2y)(3+2y)(3+2y) and multiply it together in pieces. That's not even pre-calc.
    On the one you mentioned thats what I have but I wasnt sure what to do after putting (3+2y)(3+2y)(3+2y). So thank you.

    And I havent really gotten anywhere on the domain ones. Maybe if you could explain to me what a domain is I might be able to get a little farther.

    On the (8x^3-27) I dont know what to do because of the 8 in front of the x.
    I know that if its x^3-27 you write x^3-3^3 then that equals (x-3)(x^2+3x+9).
    Do you just write and 8 in front of the (x-3)??

    But thanks again SO much!
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #4

    Jun 26, 2007, 04:05 AM
    A domain of a function of x is the set of possible values of x for which the function is defined.
    For example, for your first question 3x+1, the domain is all real numbers. For it's all real numbers apart from 0 (beacuse is undefined). Now you do the others.

    For (3+2y)(3+2y)(3+2y), you know how to do (3+2y)(3+2y) right? So do that first, and then multiply it by (3+2y) again.

    For (8x^3-27) you can take the 8 out:



    Can you factorise it now? (I know you can!)

    Let me know how you get on

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