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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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Answer» Correct Answer - 1 `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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