Home
Class 12
MATHS
If f : R->R is continuous such that f(x ...

If `f : R->R` is continuous such that `f(x + y) =f(x). f(y) AA x, y in R and f(1)=2,` then `f(100)=`

A

100

B

50

C

200

D

0

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GGSIPU MATHEMATICS 2014

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|45 Videos
  • GGSIPU MATHMATICS 2012

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|50 Videos

Similar Questions

Explore conceptually related problems

If f:R rarr R is continuous such that f(x+y)=f(x)*f(y)AA x,y in R and f(1)=2 then f(100)=

Let f(x+y)+f(x-y)=2f(x)f(y)AA x,y in R and f(0)=k, then

Let f:R rarr R be a function such that f(x+y)=f(x)+f(y),AA x,y in R

f((x)/(y))=f(x)-f(y)AA x,y in R^(+) and f(1)=1, then show that f(x)=In x

If f(x+y)=f(xy) AA x, y epsilon R, and f (2013) =2013 , then f(-2013) equals

If f:R rarr R be a function such that f(x+2y)=f(x)+f(2y)+4xy, AA x,y and f(2) = 4 then, f(1)-f(0) is equal to