Examples of Math Problems: If f(x)= x+ 1/x, show that f(x).f(x+1/x)=f(x^2)+3

Monday, December 23, 2013

If f(x)= x+ 1/x, show that f(x).f(x+1/x)=f(x^2)+3

f%28x%29=%28x%5E2%2B1%29%2Fx

LHS:

substituting from the the function...
%28%28x%5E2%2B1%29%2Fx%29%5E2%2B1=%0D%0A%28x%5E4%2B3x%5E2%2B1%29%2Fx%5E2

%28%28x%5E2%2B1%29%2Fx%29%5E2%2B1=%0D%0A%28x%5E4%2B3x%5E2%2B1%29%2Fx%5E2

RHS:

they are equal!

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