Let `f` be a real-valued function such that `f(x)+2f((2002)/x)=3xdot` Then find `f(x)dot`

Let f be a real-valued function such that f(x)+2f((2002)/x)=3xdot Then find f(2)dot

Let f be a real-valued function such that f(x)+2f((2002)/(x))=3x. Then find f(x)

Let f be a real valued function satisfying f(x)+f(x+6)=f(x+3)+f(x+9).Then int_x^(x+12)f(t)dt is

Let f(x) be a real valued function such that f(0)=1/2 and f(x+y)=f(x)f(a-y)+f(y)f(a-x), forall x,y in R , then for some real a,

Let f(x) be a real valued function such that f(0)=1/2 and f(x+y)=f(x)f(a-y)+f(y)f(a-x), forall x,y in R , then for some real a,

Let f be a real-valued function satisfying f(x)+f(x+4)=f(x+2)+f(x+6) Prove that int_(x)^(x+8)f(t)dt is constant function.

Let f be a real valued function such that for any real x, f(lambda+x)=f(lambda-x) and f(2lambda+x)=f(2lambda-x) for some lambda>0 . Then

Let F be a real valued invertible function such that f((3x-5)/(x+2))=100x+13, x!=2 .Then find the value of f^(-1)(2013)

Let f be a real valued function defined by f(x)=x^2+1. Find f'(2) .

Let f be a real-valued function satisfying f(x)+f(x+4)=f(x+2)+f(x+6) Prove that int_x^(x+8)f(t)dt is constant function.