Home
Class 12
MATHS
Identify the given functions as odd, ev...

Identify the given functions as odd, even or neither:
`f(x+y)=f(x)+f(y)` for all x,y`in`R

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Identify the given functions as odd, even or neither: f(x)=x/(e^(x)-1)+x/2+1

Identify the following functions whether odd or even or neither: f(x)={ x|x| forr x =1

Identify the following functions whether odd or even or neither: f(x) = {g(x) - g( - x)}

Identify the following functions whether odd or even or neither: f(x)=xg(x)g(-x)+"tan"(sinx)

If a real valued function f(x) satisfies the equation f(x +y)=f(x)+f (y) for all x,y in R then f(x) is

Which of the following functions is (are) even, odd or neither: f(x)=sinx-cosx

Let f(x) is a differentiable function on x in R , such that f(x+y)=f(x)f(y) for all x, y in R where f(0) ne 0 . If f(5)=10, f'(0)=0 , then the value of f'(5) is equal to

Let f : R to R be a function given by f(x+y) = f(x) + f(y) for all x,y in R such that f(1)= a Then, f (x)=

Let f : R to R be a function given by f(x+y) = f(x) + f(y) for all x,y in R such that f(1)= a Then, f (x)=

LEt F: R->R is a differntiable function f(x+2y) =f(x) + f(2y) +4xy for all x,y in R