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Mathematics 22 Online
OpenStudy (thephysicsman):

what is g(1/x)

OpenStudy (lowkey.s):

Okay Hi, how are you?

OpenStudy (thephysicsman):

\[g(y) = y^2-\frac{ 1 }{ (y+1) }\]

OpenStudy (lowkey.s):

okay what do you need help help with?

OpenStudy (thephysicsman):

here is the question

OpenStudy (thephysicsman):

i'm fine thanks alot you"?

OpenStudy (lowkey.s):

Good. Simplify g (1/x) g/x

OpenStudy (agent0smith):

Replace all the y's in \(\large g(y) = y^2-\frac{ 1 }{ (y+1) }\) with 1/x

OpenStudy (lowkey.s):

listen to @agent0smith

OpenStudy (thephysicsman):

\[(\frac{ 1 }{ x })^{2} - \frac{ 1 }{ (\frac{ 1 }{ x } )+1}\]

OpenStudy (thephysicsman):

brb

OpenStudy (agent0smith):

Now you can simplify it

OpenStudy (agent0smith):

\[\large g\left( \frac{ 1 }{ x } \right) = \left( \frac{ 1 }{ x } \right)^{2} - \frac{ 1 }{ (\frac{ 1 }{ x } )+1}\]you can simplify by multiplying the top and bottom of the right fraction like so\[\large g\left( \frac{ 1 }{ x } \right) = \frac{ 1 }{ x ^2} - \frac{ 1 }{ \frac{ 1 }{ x } +1}*\frac{ x }{ x }\]

OpenStudy (mathmale):

An hour ago you (physicsman) said you'd "be right back." Please keep your word. If your situation changes and you need to log off, please be courteous enough to inform those who are trying to help you.

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