Home
Class 12
MATHS
Check whether the function defined by f(...

Check whether the function defined by `f(x+lambda)=1+sqrt(2f(x)-f^2(x))` `AAx in R` is periodic or not. If yes, then find its period `(lambda>0)dot`

Promotional Banner

Similar Questions

Explore conceptually related problems

A function is defined by f(x)=2x-3 Find (f(0)+f(1))/(2) .

A function is defined by f(x)=2x-3 Find x such that f(x)=f(1-x) .

Determine the function satisfying f^2(x+y)=f^2(x)+f^2(y)AAx ,y in Rdot

Discuss whether the function f(x)="sin"(cosx+x) is period or not. If yes, then what is its period?

A function is defined by f(x)=2x-3 Find x such that f(x)=0.

The function f:R->[-1/2,1/2] defined as f(x)=x/(1+x^2) is

Let a function f be defined by f (x) =[x-|x|]/x for xne 0 and f(0)=2 .Then f is :

If f: Rrarr[0,oo) is a function such that f(x-1)+f(x+1)=sqrt(3)f(x), then prove that f(x) is periodic and find its period.