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Mathematics 14 Online
OpenStudy (anonymous):

Pre calc help!

OpenStudy (math_man21):

hit me

OpenStudy (anonymous):

Domain of f 3x(power of 2) +1 (I hate my tablet :/)

OpenStudy (math_man21):

idk jk

hartnn (hartnn):

you mean you want the domain of \(f(x) = 3x^2 + 1\) ?? well, what values does x cannot take?

OpenStudy (anonymous):

Yep Wdym?

hartnn (hartnn):

ok, if we have a \(\sqrt..\), then the function inside that square root must be positive. the values of x that make the \(\sqrt. \) negative are not in the domain. similarly, the denominator of a function cannot be = 0. the values of x for which the denominator = 0 are not in the domain. so for 3x^2+ 1 what are the values of x which are not in the domain of x?

OpenStudy (anonymous):

Wait, to find a domain, you would need to havea graph right?

hartnn (hartnn):

you can, thats one way. what we are doing is trying to find it algebraiclally.

OpenStudy (anonymous):

Well then i have no clue cause i only learned by graph.

hartnn (hartnn):

so if you plot 3x^2 +1, what do you observe ?

hartnn (hartnn):

is there any value that x cannot take?

OpenStudy (anonymous):

Um, give me a min

OpenStudy (anonymous):

It can take any value...

hartnn (hartnn):

right! so the domain is all real numbers :)

OpenStudy (anonymous):

Oh ok. Thanks! :D

hartnn (hartnn):

welcome ^_^

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