Home
Class 11
MATHS
If f is a real valued function such that...

If f is a real valued function such that `f(x+y)=f(x)+f(y) and f(1)=5`, then the value of f(100) is

A

200

B

300

C

356

D

500

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    TARGET PUBLICATION|Exercise COMPETITVE THINKING|170 Videos
  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos
  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

If f(x) is a function such that f(xy)=f(x)+f(y) and f(3)=1 then f(x)=

If f(x) is a function such that f(xy)=f(x)+f(y) and f(3)=1 then f(x) =

Suppose f is a real function satisfying f(x+f(x))=4f(x) and f(1)=4. Then the value of f(21) is 162164105

If f(x) is a real valued function such that f(x + 6) - f(x + 3) + f(x) = 0, AA x in R , then period of f(x) is

Consider f(x) is a real valued function f(x) such that f(x+y)=f(x)+f(y)+2xy, such that f(x) is differentiable for all xinR and (df)/(dx)(0)=0,then answer the following

Let f(x)=x^(2)+ax+b. If AA x in R, there exist a real value of y such that f(y)=f(x)+y, then find themaximum value of 100a.

If f(x) is real valued function such that (f(x-1)+f(x+1))/(2f(x))=sin60^(@),AA x in R then find the value of f(x-1)+f(x+5)

If f(x)=(x)/(x-1)=(1)/(y) then the value of f(y)