ONE QUESTION

Question

ONE QUESTION

pinklion23 · Answer

what

howard-wolowitz · Answer

attachment

pinklion23 · Answer

whoa to advanced for sorry :( im in 7th grade not 10th lol

mathteacher1729 · Answer

Do you understand what the notation $(f-g)(x)$ means?

howard-wolowitz · Answer

you sub it in correct?

mathteacher1729 · Answer

It means the function f minus the function g. 
In this case: 


$$
\begin{align*}
(f-g)(x) &= f(x) - g(x) \
& = \sqrt{5-x}-\sqrt{x-5}
\end{align*}
$$

So the question is asking: "What is the domain of $ \sqrt{5-x}-\sqrt{x-5}$?"

Note that those functions are NOT identical... one has five MINUS X  under the root, the other has x MINUS FIVE under the root. 

Do you know what the domain is for a square root function?

howard-wolowitz · Answer

yes, i got a answer that looks like that but the numbers are changed and in a different order

mathteacher1729 · Answer

What did you have? The result I have for (f-g)(x) is very likely the simplest way to represent it. Now the question is -- what is the domain of that new function?