Let f be a non zero continuous function ...

Let f be a non zero continuous function satisfying f(x+y)=f(x) f(y) for all `x, y in R`. If f(2)=9 then f(3) is

A

1

B

27

C

9

D

8

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Let 'f' be a non-zero real valued continuous function satisfying f(x + y) = f(x), f(y) . f(y) for all x, y in R if f(2) = 9 , then f(6) =

f: R^(+) rarr R is continuous function satisfying f(x/y)=f(x) - f (y) AA x, y in R^(+) . If f'(1) = 1, then

The number of linear functions of f satisfying f(x+f(x))=x+f(x) for all x in R is

If f is differentiable , f(x+y) = f(x) f(y) for all x, y in R , f(3) =3, f'(0) = 11, then f'(3) =

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 continuous such that f(x + y) = f(x) + f(y) x in R , y in R and f(1) = 2 then f(100) =

Let f:R to R be a continuous function and f(x)=f(2x) is true AA x in R . If f(1) = 3 then the value of int_(-1)^(1) f(f(x))dx=