`f(x+y)=f(x)*f(y)` for all x,y anf f(5)=2,f'(0)=3 then f(5) will be

A

2

B

4

C

6

D

8

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Let f:R rarr R be a function given by f(x+y)=f(x)f(y) for all x,y in R .If f'(0)=2 then f(x) is equal to

If f(x+y)=2f(x) f(y) for all x,y where f'(0)=3 and f(4)=2, then f'(4) is equal to

If f(2(x)/(y))=f(2x)-f(y) for all x,y>0 and f(3)=2, then the value of [f(7)], is

If f(x+y)=f(x)f(y) for all real x and y, f(6)=3 and f'(0)=10 , then f'(6) is

If f(x+y)=f(x)*f(y) for all real x,y and f(0)!=0, then prove that the function g(x)=(f(x))/(1+{f(x)}^(2)) is an even function.

"Let" f(x+y)=f(x)f(y) "for all x,y, where" f(0)ne0 . If f'(0)=2, then f(x) is equal to

Let f(x+y)=f(x).f(y) for all x and y suppose f(5)=2 and f'(0)=3. Find f'(5) .