Question

f(x+y)=f(x)+f(y)+1 f(1)=2 f(3)=?

Answer 1

答：

f(x+y)=f(x)+f(y)+1；f(1)=2

所以：

f(3)=f(1+2)

=f(1)+f(2)+1

=2+f(2)+1

=3+f(1+1)

=3+f(1)+f(1)+1

=4+2+2

=8

所以：f(3)=8