Let f be a real valued periodic function defined for all real umbers x such that for some fixed ` a gt 0` , `f(x+a)=(1)/(2)+sqrt(f(x)-{f(x)}^(2))` for all x .
Then , the period of f(x) is

If (x+(1)/(2))+f(x-(1)/(2))=f(x) for all x in R, then the period of f(x) is

Let f be a real-valued function defined by f(x) = 3x^(2) + 2x + 5 Find f(1).

Let f be a real valued function, satisfying f (x+y) =f (x) f (y) for all a,y in R Such that, f (1_ =a. Then , f (x) =

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

Let f(x) be a real valued periodic function with domain R such that f(x+p)=1+[2-3f(x)+3(f(x))^(2)-(f(x))^(3)]^(1//3) hold good for all x in R and some positive constant p, then the periodic of f(x) is

Let f:R rarr R-{3} be a function such that for some p>0,f(x+p)=(f(x)-5)/(f(x)-3) for all x in R. Then,period of f is

Let f(x) be a real valued function defined for all xge1 , satistying f(1)=1 and f'(x)=1/(x^(2)+(f(x))) , then lim_(xtooo)f(x)

If f(x)in[1,2] where x in R and for a fixed positive real number pf(x+p)=1+sqrt(2f(x)-{f(x)}^(2)) for all x in R then prove that f(x) is a periodic function

Let f be a real valued function satisfying f(x+y)=f(x)f(y) for all x, y in R such that f(1)=2 . Then , sum_(k=1)^(n) f(k)=

If f is real-valued differentiable function such that f(x)f'(x)<0 for all real x, then