f(x) is adifferentiable function of x and that f(x)*f(y)=f(x)+f(y)+f(xy)-2 and f(2)=5 then f(3) =??

Asked by  | 11th Mar, 2008, 12:21: PM

Expert Answer:

Hi Gautampompika,

You can solve the question in the following way:

1. First get the value of f(1) by putting x=2 and y=1. f(1) can be found out as the xy term would become 2 and f(2) is known.

2. Put the value of x=3 and y=1 now that you know f(1) and solve the equation to get the value of f(3)

Topper Learning Team

Answered by  | 12th Jun, 2008, 01:46: PM

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