Question: A function f: RR satisfies the equation f(x) f(y)- f(xy)= x+y V x, y e R and f(1)>0, then (A) f(x) f'(x)= x -4

A function f: RR satisfies the equation f(x) f(y)- f(xy)= x+y V 


A function f: RR satisfies the equation f(x) f(y)- f(xy)= x+y V x, y e R and f(1)>0, then (A) f(x) f'(x)= x -4 (B) f(x) f"'(x)= x -6 (C) f(x) f(x) = x -1 (D) none of these

Step by Step Solution

3.39 Rating (152 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!