Let f be a function such that `f(3)=1` and `f(3x) = x + f(3x-3)` for all x. Then find the value of `f(300)`.

Let f be a polynomial function such that f(3x)=f'(x);f''(x), for all x in R. Then : .Then :

Let f:[1,oo] be a differentiable function such that f(1)=2. If 6int_(1)^(x)f(t)dt=3xf(x)-x^(3) for all x>=1, then the value of f(2) is

Let f[1, infty) to [2, infty) be a differentiable function such that f(1) =1/3 . If 6 int_(1)^(x) f(t) dt = 3x f(x) -x^(3) for all x ge 1 , then the value of 3f(2) is

Let f[1, infty) to [2, infty) be a differentiable function such that f(1) =1/3 . If 6 int_(1)^(x) f(t) dt = 3x f(x) -x^(3) for all x ge 1 , then the value of 3f(2) is

f(x)= x^(2)-3x + 4 If f(x)= f(2x+1) find the value of x .

Let f:R to R be continuous function such that f(x)=f(2x) for all x in R . If f(t)=3, then the value of int_(-1)^(1) f(f(x))dx , is

If f(x ) = x^3 - 1/x^3 , then find the value of f(x) + f( 1/x )

Let f be a function such that f(x+y)=f(x)+f(y) for all x and y and f(x)=(2x^2+3x)g(x) for all x , where g(x) is continuous and g(0)=3. Then find f^(prime)(x)dot