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OpenStudy (danjs):
Are you comfortable with what the domain actually is?
OpenStudy (iwanttogotostanford):
yes. you explained that before
OpenStudy (danjs):
\[\large f(x)=\frac{ \sqrt{x+6} }{ (x+7)(x-9) }\]
OpenStudy (danjs):
remember the standard square root function, y=sqrt(x) how x has to be 0 or larger to get a value
|dw:1472700100847:dw|
OpenStudy (danjs):
so for the root function, you want the stuff underneath to be greater or equal to zero to get a real number back... here it is (x+6) underneath... what does that tell ya
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OpenStudy (iwanttogotostanford):
@helpppp is it x>0?
OpenStudy (helpppp):
Gimme a sec to figure it out
OpenStudy (iwanttogotostanford):
thanks!
OpenStudy (helpppp):
Okay, so to find the domain you need to find where the expression is defined. In your case x is going to be greater than or equal to -6. Therefore, your domain will be \[[-6,\infty)\].
OpenStudy (helpppp):
B. X is greater than or equal to -6, remember?
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OpenStudy (agent0smith):
Don't forget to find values that make the denominator zero...