Let `f(x)` be continuous functions `f: RvecR` satisfying `f(0)=1a n df(2x)-f(x)=xdot` Then the value of `f(3)` is `2` b. `3` c. `4` d. 5

Let f:R rarr R be a continuous function which satisfies f(x)=int_(0)^(x)f(t)dt. Then the value of f(1n5) is

Let f be a function satisfying the functional rule 2f(x)+f(1-x)=xAAx in Rdot Then the value of f(1)+f(2)+f(3) is

Let a function f(x) satisfies f(x)+f(2x)+f(2-x)+f(1+x)=x,AA x in R Then find the value of f(0)

Let f be a continuous function satisfying f'(In x)=[1 for 0 1 and f(0)=0 then f(x) can be defined as

Let f(x) be continuous and differentiable function everywhere satisfying f(x+y)=f(x)+2y^(2)+kxy and f(1)=2, f(2)=8 then the value of f(3) equals

A differentiable function satisfies 3f^(2)(x)f'(x)=2x. Given f(2)=1 then the value of f(3) is

Let f(x) be a function which satisfies the relation f(x+1)+f(2x+2)+f(1-x)+f(2+x)=x+1 AA x in R then value of [f(0)] is

Let f be a continuous function satisfying f(x + y) = f (x) f( y) (x, y in R) with f(1) = e then the value of int(xf(x))/(sqrt(1+f(x)))dx is

If a continuous function f on [0,a] satisfies f(x)f(a-x)=1,agt0 , then find the value of int_(0)^(a)(dx)/(1+f(x)) .