A real valued function \[f(x)\] satisfies the function equation \[f(x-y)=f(x)f(y)-f(a-x)f(a+y)\] where a is a given constant and \[f(0)=1\], \[f(2a-x)\] is equal to [AIEEE 2005]

A real valued function \[f(x)\] satisfies the function equation \[f(x-

1.	A real valued function \[f(x)\] satisfies the function equation \[f(x-y)=f(x)f(y)-f(a-x)f(a+y)\] where a is a given constant and \[f(0)=1\], \[f(2a-x)\] is equal to [AIEEE 2005]
A.	\[f(a)+f(a-x)\]
B.	\[f(-x)\]
C.	\[-f(x)\]
D.	\[f(x)\]
Answer» D. \[f(x)\]

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A real valued function \[f(x)\] satisfies the function equation \[f(x-y)=f(x)f(y)-f(a-x)f(a+y)\] where a is a given constant and \[f(0)=1\], \[f(2a-x)\] is equal to [AIEEE 2005]

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