A polynomial function f(x) satisfies the condition `f(x)f(1/x)=f(x)+f(1/x)` for all `x inR`,`x!...

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If f(x).f(1/x) = f(x) +f(1/x) then f(x)=1+-x^n , where x€R -{0} & f(x) is polynomial function If f(x).f(1/x) = f(x) +f(1/x) then f(x)=1+-x^n , where x€R -{0} & f(x) is polynomial function
For `x inR - {1}`, the function f(x ) satisfies `f(x) + 2f(1/(1-x))=x`. Find `f(2)`. For `x inR - {1}`, the function f(x ) satisfies `f(x) + 2f(1/(1-x))=x`. Find `f(2)`.
Let \(f(x)\) be a polynomial function satisfying the relation \(f(x) . f\left(\frac{1}{x}\right).... Let \(f(x)\) be a polynomial function satisfying the relation \(f(x) . f\left(\frac{1}{x}\right)....
A polynomial function `f(x)` satisfies the condition `f(x+1)=f(x) + 2x + 1`. Find `f(x)` if A polynomial function `f(x)` satisfies the condition `f(x+1)=f(x) + 2x + 1`. Find `f(x)` if
A polynomial function f(x) satisfies the condition `f(x)f((1)/(x))=f(x)+f((1)/(x))` A polynomial function f(x) satisfies the condition `f(x)f((1)/(x))=f(x)+f((1)/(x))`
Let f: R-{0}- (-infinity,1) be a polynomial of degree 2,satisfyingf(x)f(1/x)=f(x)+f(1/x).If f(K)=-2K Let f: R-{0}- (-infinity,1) be a polynomial of degree 2,satisfyingf(x)f(1/x)=f(x)+f(1/x).If f(K)=-2K
If f(x) is a polynomial function satisfying the condition f(x) .f((1)/(x)) = f(x) + f((1)/(x)) a... If f(x) is a polynomial function satisfying the condition f(x) .f((1)/(x)) = f(x) + f((1)/(x)) a...
If `f(x)` is a polynomial function satisfying `f(x)dotf(1/x)=f(x)+f(1/x)` and `f(4)=65 ,t h e n... If `f(x)` is a polynomial function satisfying `f(x)dotf(1/x)=f(x)+f(1/x)` and `f(4)=65 ,t h e n...