Home
Class 12
MATHS
Find the period of the real-valued funct...

Find the period of the real-valued function satisfying f(x)+f(x+4)=f(x+2)+f(x+6).

Text Solution

Verified by Experts

The correct Answer is:
Period is 8
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

Consider the real -valued function satisfyinig 2f(sinx)+f(cosx)=x. Then the domain of f(x) is

Let f(x) be a real valued function satisfying the relation f(x/y) = f(x) - f(y) and lim_(x rarr 0) f(1+x)/x = 3. The area bounded by the curve y = f(x), y-axis and the line y = 3 is equal to

If f is an even function, then find the realvalues of x satisfying the equation f(x)=f((x+1)/(x+2))

The number or linear functions f satisfying f(x+f(x))=x+f(x) AA x in RR is

The range of the real function defined by f(x)=(4-x)/(x-4) is:

If f is a real valued differentiable function satisfying | f (x) - f (y) | le (x - y) ^(2) for all real x and y and f (0) =0 then f (1) equals :

If f:R-{-1}toR and f is differentiable function satisfies: f((x)+f(y)+xf(y))=y+f(x)+yf(x)AAx, yinR-{_1} Find f(x).

Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for all "x inR. Then, f'(x)f(nx) a. f(x) b. 0 c. f(x)f'(nx) d. none of these

If f(x) is a polynomial function satisfying f(x)dotf(1/x)=f(x)+f(1/x) and f(4)=65 ,then find f(6)dot

Let f:R to R be a function satisfying f(2-x)=f(2+x) and f(20-x)=f(x) AA x in R. For this function f , answer the following. If f(2) ne f(6), then the