If f(x) = `x /( x + 1 ) `, then find `f( a /b )` and `f( b /a )`

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

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

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

If 2f(x)-3f((1)/(x))=6x+(1)/(x) then find f(x) and f(2)

If f(x)=3x+b and f(1)=8 then: b=

Let f: R to R be defined by f(x) =x/(x+1), x ne -1 If a,b in R and ab ne 0, f (a/b) + f(b/a) and a+b ne 0 is equal to

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

If f(x)=(x-1)/(x+1), then f(f(ax)) in terms of f(x) is equal to (a) (f(x)-1)/(a(f(x)-1)) (b) (f(x)+1)/(a(f(x)-1))(c)(f(x)-1)/(a(f(x)+1))(d)(f(x)+1)/(a(f(x)+1))