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A real value function f ( x ) satisfied the functional equation f ( x - y ) = f ( x ) f ( y ) - f ( a-x ) f ( a + y ) and f ( 0 ) = 1, f ( 2a-x ) =?

A real value function f ( x ) satisfied the functional equation f ( x - y ) = f ( x ) f ( y ) - f ( a-x ) f ( a + y ) and f ( 0 ) = 1, f ( 2a-x ) =? 

Grade:12th pass

1 Answers

Sourabh Singh IIT Patna
askIITians Faculty 2104 Points
7 years ago
Use proper substitution and arrangement in order to get the answer.

Use x=a and y=0
then y=a and x=0.

You will get set of equations with help of which you can get the answer

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