Question

Surprise! I'm actually asking a course related question! Simple problem, maybe it's because I'm tired right now but I don't even know where to start! Help is appreciated!

Answer 1

Identify the set of values for X for which Y will be a real number.
\[y=\frac{ 2 }{ x + 7 }\]

Answer 2

We want y to be a real number, so 2/(x+7) has to be rational. What value(s) of x are impossible?

Answer 3

-5?
But isn't this asking for a set?

Answer 4

No, -5 would still work. You'd get 2/2, which is definitely real. If you have division, the denominator of the fraction can't be zero (because it will be undefined).

Answer 5

Identify the "set of values" for X for which Y will be a real number.
Set, meaning multiple. Values, being plural also meaning multiple.
It's not asking for "a value of x" for which y will be a real number. How would I come up with said set?

Answer 6

it is not necessary that for \(\Large\frac{2}{x+7}\) to be real it must have to be rational.

well any real number is a number that can be represented on the number like.
rational numbers like 2,7,5.. are all real
irrational numbers like \(\sqrt{2}\),\(\sqrt{3}\).. are also real (because they can be represented on number line).

this might help-> \(\Large\frac{any~real}{any~real}=real\)

Answer 7

but remember that indeterminate form like \(\Large \frac{some~number}{0}\) is not considered to be real

Answer 8

Ah, gotcha.

Answer 9

So, for example, same directions but different question:
\[y=\sqrt{x+11}\]

Answer 10

I would assume any positive?

Answer 11

Bad grammar I apologize.
I would assume, Any positive?*

Answer 12

yes in this question the thing inside the square root cannot be negative so \((x+11)\) must be positive

Answer 13

Thanks for your help! I think I was just confused as to the wording of the question.

God Bless!
~SnuggieLad

Answer 14

Lol np :D

Answer 15

Now, where did I put my pencil? ;) I hate it when that happens.

Answer 16

yeah happens ;) normally find it kept inside some book
eh xd i got an exam in 20min gtg :D