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If f :[2,oo)rarr(-oo,4], where f(x)=x(4-...

If `f :[2,oo)rarr(-oo,4],` where `f(x)=x(4-x)` then find `f^-1(x)`

A

`2- sqrt(4-x)`

B

`2+sqrt(4-x)`

C

`-2+ sqrt(4-x)`

D

`-2-sqrt(4-x)`

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The correct Answer is:
A
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