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Mathematics 15 Online
OpenStudy (adamaero):

Inverse function of...

OpenStudy (adamaero):

f(x) = \[\sqrt{x ^{2}+2x}\]

OpenStudy (adamaero):

So far all I got is \[x ^{2} = y(y +2)\]

OpenStudy (adamaero):

@lyssaaaa yaaa 51!

OpenStudy (adamaero):

@ganeshie8 @Compassionate @Preetha @inkyvoyd @kirbykirby @Miracrown @iGreen

OpenStudy (anonymous):

You have \(y^2+2y+x^2=0\) You can apply quadratic formula to isolate y. A = 1 B = 2 C = \(x^2\)

OpenStudy (anonymous):

Sorry... I mean \(y^2+2y-x^2=0\) So \(C =-x^2\)

OpenStudy (anonymous):

Does that help? @adamaero

OpenStudy (adamaero):

yes thank you

OpenStudy (anonymous):

\[y^2=x^2+2x\] \[x^2+2x-y^2=0\] solve for x using quadratic eqn

OpenStudy (adamaero):

wouldn't it be better by completing the square? \[y ^{-1}=\pm \sqrt{x^2-1}\]

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