lf a polynomial function `f` satisfies the relation ` log_2(f(x)) = log_2(2+2/3+2/9+.........oo)*log_3{1+f(x)/(f(1/x))}` and `f(10)=1001`, then the value of `f(20) `is

If a polynomial function f satisfies the relation log_(2)(f(x))=log_(2)(2+(2)/(3)+(2)/(9)+......oo)*log_(3){1+(f(x))/(f((1)/(x)))} and f(10)=1001 ,then the value of f(20) is

If x=log_4((2f(x))/(1-f(x))) then the value of f(2018)+f(-2017) is equal to

If f'(x)=f(x)+int_(0)^(1)f(x)dx ,given f(0)=1 , then the value of f(log_(e)2) is

If a function satisfies the relation f(x) f''(x)-f(x)f'(x)=(f'(x))^(2) AA x in R and f(0)=f'(0)=1, then The value of lim_(x to -oo) f(x) is

"If " f(x)=int(dx)/(x^(1//3)+2) " and "f(0)=12log_(e)2, " then the value of " f(-1) " is"-.

A polynomial function f (x) satisfies f(x) f((1)/(x))=f(x)=f((1)/(x)) . If f(10) =1001, then what is the value of f(20)?

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

A polynomial function f(x) satisfies the condition f(x)f((1)/(x))=f(x)+f((1)/(x)) . If f(10)=1001, then f(20)=

Function f satisfies the relation f(x)+2f((1)/(1-x))=x AA x in R-{1,0} then f(2) is equal to