Question

Given the function f(x) = f(x - 1) + f(x - 3) for x > 1. Given that f(0) = f(1) = f(3) = 1. Find the value of f(4). Please include an explanation. Thanks! =)

Answer 1

Explanation:

`f(x)=f(x-1)+f(x-3)`

Substitute x=4,

`f(4)=f(4-1)+f(4-3)=f(3)+f(1)=1+1=2`