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Mathematics 16 Online
OpenStudy (iwanttogotostanford):

ff

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

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?

OpenStudy (agent0smith):

Don't forget to find values that make the denominator zero...

OpenStudy (helpppp):

My brain is dead rn.... >.<

OpenStudy (iwanttogotostanford):

mine too... :-( I'm trying though

OpenStudy (agent0smith):

x ≥ -6, x ≠ 9 yes

OpenStudy (agent0smith):

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