Home
Class 11
MATHS
Let 'f' be a non-zero real valued contin...

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) =

A

`3^(2)`

B

`3^(6)`

C

`3^(4)`

D

`3^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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) satisfies the relation f(x+ y) = f ( x) + f( y ) for all x, y in R and f(1) = 5 then

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

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