f(x)+2+f(2a-x)
=(x+1-a)/(a-x)+2+(2a-x+1-a)/(a-2a+x)
=(x+1-a)/(a-x)+2+(a-x+1)/(-a+x)
=(x+1-a)/(a-x)+2+(x-a-1)/(a-x)
=(2x-2a)/(a-x)+2
=-2+2
=0
f(x)+2+f(2a-x)
=(x+1-a)/(a-x)+2+(2a-x+1-a)/(a-2a+x)
=(x+1-a)/(a-x)+2+(a-x+1)/(-a+x)
=(x+1-a)/(a-x)+2+(x-a-1)/(a-x)
=(2x-2a)/(a-x)+2
=-2+2
=0