Flag Differential Calculus> if f(x).f(1/x) = f(x) + f(1/x) then prove...
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if f(x).f(1/x) = f(x) + f(1/x) then prove that f(x) = xn+ 1

shashi , 8 Years ago
Grade 12th pass
anser 2 Answers
Sourabh Singh

Last Activity: 8 Years ago

Hii
you can find out the value of f(x) and f(1/x) .
Multilply f(x) and f(1/x) and then add f(x) and f(1/x).
So both these values will be equal.


rishabh

Last Activity: 8 Years ago

In this question.. It must be given that the function is a polynomial(which is indirectly given to be proved).. So take a general polynomial of degree n and then subsitute that in the given equation.. Then compare both sides coefficient then you will get the proof

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