Home
Class 11
MATHS
If f(x+y) =f(xy) AA x, y in R and if f(2...

If `f(x+y) =f(xy) AA x, y in R` and if f(2008) = 2008 then find the value of f(2009).

Text Solution

Verified by Experts

The correct Answer is:
2008
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -I|53 Videos
  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -II|165 Videos
  • FUNCTIONS

    AAKASH SERIES|Exercise OBJECTIVE QUESTIONS ON ADDITIONAL INFORMATION|5 Videos
  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos
  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

If f(x + y) = f(x) f(y) AA x, y and f(5) = 2, f'(0) = 3 then f'(5) =

If f : R to R is defined as f (x+ y) = f (x) + f (y) AA x, y in R and f (1) = 7, then find sum _(r =1) ^(n) f (r).

If f ((x + 2y)/(3)) = (f (x) + 2f (y))/( 3) AA x, y in R and f '(0) = 1, f (0) = 2, then find f (x).

If f(x+y)=f(x)+f(y)-xy-1 AA x, y in R and f(1)=1 then the number of solution of f(n)=n, n in N is

y = f(x) , Where f satisfies the relation f(x + y) = 2f(x) + xf(y) + ysqrt(f(x)) AA x, y in R and f'(0) = 0 . Then f(6) is equal to ………

If f(2x + 3y, 2x-3y)=4xy , then find the value of f(x,y)

If satisfies the relation f(x+y)+f(x-y)=2 " " f(x).f(y) AA x , y in R and f(0) != 0 , then f(10)-f(-10)=