If `f:R- gtR` satisfies `f(x+y)=f(x)+f(y)`,for all `x,y in R and f(1)=2` then `sum_(r=1)^7

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Find all functions f: R to R, which satisfy f(x+y)-f(x-y)=f(x)f(y). Find all functions f: R to R, which satisfy f(x+y)-f(x-y)=f(x)f(y).
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