Question

If f(x + y) = f(x) < f(y) V x, y e R. Find possible value of f(0) if f(0) > 0 X ​

Answer 1

Answer:

f(xy)=f(x).f(y)

f(0)=1 as f(0)



=0

⇒f(x)=1

dx

dy

=f(x)=1

⇒y=x+c

At, x=0,y=1⇒c=1

y=x+1

⇒y(

4

1

)+y(

4

3

)=

4

1

+1+

4

3

+1=3