Answer:[tex]f(x)=2\times 3^{x}[/tex]
Step-by-step explanation:
Let [tex]f(x)[/tex] be the number of shares in [tex]x[/tex] days.
Let the function [tex]f(x)=ab^{x}[/tex].
It is given that each friend shares with three friends the next day.
So,[tex]f(x)=3\times f(x-1)[/tex]
substituting [tex]f(x)=ab^{x}[/tex]
[tex]ab^{x}=3\times ab^{x-1}[/tex]
So,[tex]b=3[/tex]
Given that at day [tex]0[/tex],there are [tex]2[/tex] shares.
So,[tex]f(0)=2[/tex]
[tex]a3^{0}=2[/tex]
[tex]a=2[/tex]
So,[tex]f(x)=2\times 3^{x}[/tex]
