\sqrt{\frac{15 x}{x^2-196}}

What is the domain?

Question

\sqrt{\frac{15 x}{x^2-196}}

What is the domain?

mathmale · Answer

Do you mean this?
$$\sqrt{\frac{ 15x }{ x^2-196 }}?$$

mathmale · Answer

If so, rewrite the above, EXCEPT please factor the denominator.

anonymous · Answer

Yes i mean that!

mathmale · Answer

Remember that the quantity under the radical sign can NOT be negative, although it can be either zero or positive.  Note that the denominator MUST NOT = 0.
Does this help towards your identification of the domain?
What does domain mean, by the way?

anonymous · Answer

x value

anonymous · Answer

So x= 14?

mathmale · Answer

"domain" involves more than just "x-value."  When you are asked for the "domain," you are being asked which x-values are acceptable and which are not.  For example, the square root of -1 is imaginary, which would not be acceptable if you were to find only real roots.

anonymous · Answer

On my calc. it say -13 through 0

mathmale · Answer

$$\frac{ 15x }{ x^2-196 }$$

mathmale · Answer

has to be zero or greater.  Notice how I've dropped the square root operator?

With that in mind, what are you going to do next?

mathmale · Answer

What were y ou looking at / what were you looking for   ... when you say, "on my calculator it says -3 through 0"  ?

anonymous · Answer

I graphed it and then went to the table.

mathmale · Answer

Please be clear about what you're looking for when you do something like that.  

Once again:  Your $$\frac{ 15x }{ x^2-196 }$$

mathmale · Answer

must be equal to or greater than zero (0).  Why?
what would you do to solve that?  Your "-13 through 0" is on the right track, but what does "-13 through 0" mean?  Want you to understand what you are doing and why.

mathmale · Answer

Solve:$$\frac{ 15x }{ x^2-196 }\ge0$$

mathmale · Answer

Hints:
1) First look at that numerator:  15x.  At what value of x does the numerator change signs?
2) Factor the denominator.  Then set each of the factors = to 0 separately.  Solve each equation for x.  what do you get?

mathmale · Answer

You should be coming up with three x-values here.  What are they?

mathmale · Answer

OpenStudy says you are "offline."  Did you lose your Internet connection, or did you simply leave without letting me know?