If f(x) is a polynomial function satusfy...

If f(x) is a polynomial function satusfying the condition `f(x)*f(1/x)=f(x)+f(1/x)"and"f(2)=9` then (1) 2(f(4)=3f(6) (2) 14 f(1) =f(3) (3) 9 f(3) =f(5) (4) f(10) =f(11)

Similar Questions

Explore conceptually related problems

If f(x) is a polynomial function satisfying the condition f(x) .f((1)/(x)) = f(x) + f((1)/(x)) and f(2) = 9 then

If f(x) is a polynomial fin x( gt0 ) satisfying the equation f(x)+f(1//x)=f(x).f(1//x) and f(2)=9 , then f(3)=

If f(x) is a ploynomial function satisfying f(x) . f(1/x) = f(x) + f(1/x) and f(3)=28, then f(2) is

If f (x) is a polynomial function satisfying f(x).f((1)/(x))=f(x)+f((1)/(x)) and f(4) =257 then f(3) =

" If "f(x)" is a polynomial in "x(>0)" satisfying the equation "f(x)+f(1/x)=f(x)f(1/x)" and "f(2)=9" ,then "f(3)" -,"

If f(x) is a polynomial even function such that f(x).f(1/x)=f(x)+f(1/x) and f(2)=65 , then f(-3) =

If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(x))and f(3) =-80 then f(x)=

If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(x))and f(3) =-80 then f(x) - f((1)/(x)) =

Let f(x) be a polynomial function such that f(x). f(1/x) = f(x) + f(1/x). If f(4) = 65, then f^(')(x) =