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Grade: 12th pass
        
If f(x) satisfies x+|f(x)|=2f(x) then f^-1(x) satisfies
5 months ago

Answers : (1)

Aditya Gupta
1730 Points
							
i am getting the answer as 
3x – |f–1 (x)|= 2f–1 (x) where f(x) is greater than equal to zero.
the reason is that if f(x) is greater than equal to zero, then |f(x)|= f(x) so that x+|f(x)|=2f(x) implies x+f(x)=2f(x) or f(x)=x. since f is greater than zero, hence x should also b greater than zero.
hence, f-1(x)= x which too is greater than zero.
now 3x – |f–1 (x)|= 3x – |x|= 3x – x= 2x= 2f–1 (x)
or 3x – |f–1 (x)|= 2f–1 (x)
kindly approve:)
5 months ago
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