If f(x) is a polynomial function satisfying f(x)f(y)=f(x)+f(y)+f(xy)-2 for all real x and y and f(3) = 10, then (f(4))/(17) is equal to

If f(x) is a polynomial function satisfying f(x)f(y)=f(x)+f(y)+f(xy)-2

1.	If f(x) is a polynomial function satisfying f(x)f(y)=f(x)+f(y)+f(xy)-2 for all real x and y and f(3) = 10, then (f(4))/(17) is equal to
Answer» Solution :`F(X)f(y)=f(x)+f(y)+f(XY)-2" and "f(3)=10` for `x=1,y=3impliesf(1)=2` `THEREFORE` for `xy=1 " of"y=(1)/(x)` `=f(x)f((1)/(x))=f(x)+f((1)/(x))` `implies f(x)=1pmx^(2)` `because f(3)=10impliesf(x)=1+x^(2)`

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If f(x) is a polynomial function satisfying f(x)f(y)=f(x)+f(y)+f(xy)-2 for all real x and y and f(3) = 10, then (f(4))/(17) is equal to

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