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Mathematics 11 Online
OpenStudy (emilyjones284):

MEDAL AND FAN! (: Posted below

OpenStudy (emilyjones284):

If \[f(x)=\]\[\sqrt{x+3}\] what is the equation for \[f ^{-1}(x)\]?

OpenStudy (anonymous):

For inverses you switch the y and x. ( f(x) is y.)

OpenStudy (emilyjones284):

yeah i know how to do it im just checking my answer because im not sure if i did it right

OpenStudy (anonymous):

so this would be \[x=\sqrt{y+3} and then solve for y. \]

OpenStudy (emilyjones284):

i got f^-1(x) = x^2-3 but im not sure is thats correct

OpenStudy (anonymous):

you sure are right! :)

OpenStudy (emilyjones284):

Okay thank you! (:

OpenStudy (jdoe0001):

$$\bf y = \sqrt{x+3}\\ f^{-1} \implies x = \sqrt{y+3}\\ x^2 = y+3 \implies x^2-3 = y $$

OpenStudy (anonymous):

nice job jdoe

OpenStudy (anonymous):

can you please tell me how you got the equations that way? @jdoe0001

OpenStudy (jdoe0001):

hmm which way?

OpenStudy (anonymous):

like the one you typed.. how'd you get it to show up like that?

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