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

If f(x)=A x^2+B x+C then find f '(x)

If f(x)=(x-a)^2(x-b)^2 , find f(a+b)

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

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

If f^(prime)(x)=x-1/(x^2) and f(1)=1/2 , find f(x) .

If f^(prime)(x)=x-1/(x^2) and f(1)=1/2 , find f(x) .

If f_1(x)=(1)/(x), f_(2) (x)=1-x, f_(3) (x)=1/(1-x) then find J(x) such that f_(2) o J o f_(1) (x)=f_(3) (x) (a) f_(1) (x) (b) (1)/(x) f_(3) (x) (c) f_(3) (x) (d) f_(2) (x)

f(x)=x^(2) . Find f^(-1) .

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot