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Math Help - Domain of the function

  1. #1
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    Domain of the function

    I need help on doing this problem.

    The domain of the function is ________

    If you can't view the picture of the problem here it is: 1/squareroot(19x+3)

    I also need help with this problem:
    A company that makes thing-a-ma-bobs has a start up cost of $ 46975. It costs the company $ 1.09 to make each thing-a-ma-bob and the company charges $ 5.93 for each thing-a-ma-bob. Let represent the number of thing-a-ma-bobs made.
    Write the cost function for this company. C(x)=____
    Write the revenue function for this company.R(x)=____
    Write the profit function for this company.P(x)=R(x)-C(x)=____
    What is the minimum number of thing-a-ma-bobs that the company must pruduce and sell to make a profit?
    Last edited by badandy328; November 13th 2007 at 04:21 PM. Reason: Can't view picture
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by badandy328 View Post
    I need help on doing this problem.

    The domain of the function is ________

    If you can't view the picture of the problem here it is: 1/squareroot(19x+3)
    the domain is all the x-values for which the function is defined. thus we want all x such that \sqrt {19x + 3} > 0
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by badandy328 View Post
    A company that makes thing-a-ma-bobs has a start up cost of $ 46975. It costs the company $ 1.09 to make each thing-a-ma-bob and the company charges $ 5.93 for each thing-a-ma-bob. Let represent the number of thing-a-ma-bobs made.
    Let x be the number of units made

    Write the cost function for this company. C(x)=____
    we have a starting cost of $46975 and a cost of 1.09 per unit made, thus

    C(x) = 1.09x + 46975

    Write the revenue function for this company.R(x)=____
    Assuming we sell all the units made, we gain $5.93 for each unit sold. thus,

    R(x) = 5.93x

    Write the profit function for this company.P(x)=R(x)-C(x)=____
    you can do this

    What is the minimum number of thing-a-ma-bobs that the company must pruduce and sell to make a profit?
    we want to find x such that P(x) > 0
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