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korosh23
 one year ago
What is the inverse of the function f(x) = (x+2) ^2 ???
korosh23
 one year ago
What is the inverse of the function f(x) = (x+2) ^2 ???

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korosh23
 one year ago
Best ResponseYou've already chosen the best response.0I believe the answer is: \[f^1 (x)= \sqrt{x 2}\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1To find the inverse: Replace f(x) with y Switch x's and y's, so put x where y is and x where y is. Solve for y Replace y with f^1(x)

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1\[y=(x+2)^2 \implies x = (y+2)^2\] \[y+2=\sqrt{x} \implies y = \sqrt{x}2\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1I think you may have made a mistake sqaure rooting both sides

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1\[f^{1}(x)=\sqrt{x}2\]

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.1I guess we should put \[f^{1}(x) = \pm \sqrt{x}2\] if you really want to be precise

korosh23
 one year ago
Best ResponseYou've already chosen the best response.0why the square root is not part of the 2 ? @Astrophysics

rajat97
 one year ago
Best ResponseYou've already chosen the best response.0look we just need to find x in terms of y so we have y=(x+2)^2 so sqrt(y) = x+2 then, sqrt(y) 2 = x now just interchange x and y so, you'll get, sqrt(x)  2 = y it seems to be like this:\[y=\sqrt{x} 2\]

korosh23
 one year ago
Best ResponseYou've already chosen the best response.0ok I got it thank you
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