Home
Class 12
MATHS
If f(x) is a function satisfying f(x+y) ...

If f(x) is a function satisfying `f(x+y) = f(x) f(y)` for all x,y`in N` such that `f(1) = 3` and `sum_(x=1)^(n) f(x) = 120`
Then the value of n is `:`

A

4

B

5

C

6

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x) be a function satisfying f(x+y) = f(x) f(y) for all x,y in N such that f(1) = 3 and sum_(x=1)^(n) f(x) = 120 . Then the vlaue of n is :

f(xy)=f(x)+f(y) is true for all

Let f be a function satisfying f(x+y)=f(x) + f(y) for all x,y in R . If f (1)= k then f(n), n in N is equal to

If f:RtoR satisfies f(x+y)=f(x)+f(y) for all x,yinRandf(1)=7 , then sum_(r=1)^(n)f(r) is :

If f(x) is a ploynomial function satisfying f(x) . f(1/x) = f(x) + f(1/x) and f(3)=28, then f(2) is

There exists a function f(x) satisfying f(0)=1, f'(0)=-1, f(x) gt 0 , for all x, then :

Let f(x) be a function satisfying f'(x) = f(x) with f(0) = 1 and g(x) be a function that satisfies f(x) + g(x) = x^2 . Then the value of the integral int_0^1 f(x) g (x) dx is :

The f(x) is such that f(x+y) = f(x) + f(y) , for all reals x and y xx then f(0) =

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