Let f:(-oo,oo)vec[0,oo) be a continuous ...

Let `f:(-oo,oo)vec[0,oo)` be a continuous function such that `f(x+y)=f(x)+f(y)+f(x)f(y),AAx in Rdot` Also `f'(0)=1.` Then `[f(2)]` equal `([dot]` represents the greatest integer function`)` `5` b. `6` c. `7` d. `8`

Similar Questions

Explore conceptually related problems

Let f:(0,oo)rarr R be a differentiable function such that f'(x)=2-(f(x))/(x) for all x in(0,oo) and f(1)=1, then

Suppose that f is a differentiable function with the property that f(x+y)=f(x)+f(y)+xy and lim_(h rarr0)(1)/(h)f(h)=3, where [.] represents greatest integer function,then

Let f : R to R be a function such that f(x+y) = f(x)+f(y),Aax, y in R. If f (x) is differentiable at x = 0, then

Let a real valued function f satisfy f(x+y)=f(x)f(y)AA x,y in R and f(0)!=0 Then g(x)=(f(x))/(1+[f(x)]^(2)) is

Let f:(-oo,2] to (-oo,4] be a function defined by f(x)=4x-x^(2) . Then, f^(-1)(x) is

Let f:[0,oo)rarr R be a continuous strictly increasing function,such that f^(3)(x)=int_(0)^(x)t*f^(2)(t)dt for every x>=0. Then value of f(6) is

Let `f:(-oo,oo)vec[0,oo)` be a continuous function such that `f(x+y)=f(x)+f(y)+f(x)f(y),AAx in Rdot` Also `f'(0)=1.` Then `[f(2)]` equal `([dot]` represents the greatest integer function`)` `5` b. `6` c. `7` d. `8`

Similar Questions

Recommended Questions