Consider a real-valued function f(x) sat...

Consider a real-valued function f(x) satisfying 2f(xy) `=(f(x))^(y)+ (f(y))^(x) AA x, y in R and f(1) = a` where `a ne 1` then `(a-1)sum_(i=1)^(n)f(i)=` a)`a^(n)-1` b)`a^(n+1)+1` c)`a^(n)+1` d)`a^(n+1) -a`

A

`a^(n)-1`

B

`a^(n+1)+1`

C

`a^(n)+1`

D

`a^(n+1) -a`

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The correct Answer is:

D

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