# Math Help - Domain of the function

1. ## 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? 2. Originally Posted by badandy328 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 $\sqrt {19x + 3} > 0$ 3. Originally Posted by badandy328 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 $P(x) > 0$