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Mathematics 15 Online
OpenStudy (vera_ewing):

Math question

OpenStudy (michele_laino):

we have to establish if does your function has an inverse function, first. Now, I can answer: yes your function has an inverse function. Now we have to compute such inverse function, so I write this: \[\begin{gathered} y = 2\sqrt x + 3 \hfill \\ \sqrt x = \frac{{y - 3}}{2} \hfill \\ \end{gathered} \] please solve with respect to x

OpenStudy (michele_laino):

hint: if I take the square of both sides, I get: \[x = {f^{ - 1}}\left( y \right) = {\left( {\frac{{y - 3}}{2}} \right)^2}\]

OpenStudy (vera_ewing):

x=(y-3)^2/4

OpenStudy (michele_laino):

correct! So, what is the right option?

OpenStudy (vera_ewing):

So it is A??

OpenStudy (michele_laino):

yes! correct!

OpenStudy (vera_ewing):

Thanks, Michele!

OpenStudy (michele_laino):

:)

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