If `f(x)=(x)/(x^(2)+1)` then find `{f((a)/(b))-f((b)/(a))}`

If f(x)=(x-1)/(x+1), then find f{f(x)}

If f(x)=(x^(2)-x+1)/(x^(2)+x+1) ,then find f(1+b)

If f(x)=(x-a)/x+x/(x-b) , then find f((a+b)/2) .

f(x)+f(1-x)=2 then find f((1)/(2))=

If f(x)=(x)/(x-1) , then evaluate : (f(a//b))/(f(b//a))

If f(x)=(x+1)/(x-1), x ne 1 , find f(f(f(f(f(2)))))

If f(x)=(x+1)/(x-1), x ne 1 , find f(f(f(f(2)))))

If f'(x)=x+b,f(1)=5,f(2)=13, find f(x)

If f(x)=(x-1)/(x+1) , then prove that: (f(b)-f(a))/(1+f(b)*f(a))=(b-a)/(1+ab)

If f(x)=log((1+x)/(1-x)), then (a) f(x_(1))f(x)=f(x_(1)+x_(2))(b)f(x+2)-2f(x+1)+f(x)=0 (c) f(x)+f(x+1)=f(x^(2)+x)(d)f(x_(1))+f(x_(2))=f((x_(1)+x_(2))/(1+x_(1)x_(2)))