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)`.

Text Solution

Verified by Experts

The correct Answer is:
f(x) is periodic with period `2lambda`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 8|8 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 9|10 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Check whether the function defined by f : Rrarr R, f(x) = x^2 is one-one and onto ?

Check whether the function defined by f : Rrarr R, f(x) = x^2 is one-one and onto ?

Check whether the function defined by f : Zrarr Z, f(x) = x^2 is one-one and onto ?

Check whether the function defined by f : Nrarr N, f(x) = x^2 is one-one and onto ?

Check whether the function defined by f : Zrarr Z, f(x) = x^2 is one-one and onto ?

Check whether the function defined by f : Nrarr N, f(x) = x^2 is one-one and onto ?

A function 'f' is defined by f(x) = 2x - 5, find : f(0).

Prove that f(x)=x-[x] is periodic function. Also, find its period.

Check whether the function f : N rarr N given by f (x) = x^2 is 1-1 and onto or not.

If the function f:[1,∞)→[1,∞) is defined by f(x)=2 ^(x(x-1)) then f^-1(x) is