An equation of the form `f^(2n)(x) = g^(2n)(x)` is equivalent to `f(x) = g(x)`

An inequation of the form f^((1)/(2)n)(x)

An equation of the form (f(x))^(g(X))

An inequation of the form f^((1)/(2)n)(x)

An equation of the form (f(x))^((1)/(2n))=g(x) equivalent to the system g(x)>=0;f(x)=g^(2n)(x)

An equation of the form (a-f(x))^((1)/(n))+(b+f(x))^((1)/(pi))=g(x)

If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

Let f(x)=px+qandg(x)=mx+n." Then "f(f(x))=g(f(x)) is equivalent to

Statement-1: Suppose f(x)=2^x+1a n d\ g\ (x)=4^(-x)+2^(-x) . The equation f(x)\ =\ g(x) has exactly one root. Statement-2: If f(x)\ a n d\ g(x) are two differentiable functions defined for all x\ in R\ and if \ f(x)\ \ i s strictly increasing and g(x) in strictly decreasing for every x\ in R then the equation f(x)\ =\ g(x) must have exactly one root.

Two distinct polynomials f(x) and g(x) defined as defined as follow : f(x) =x^(2) +ax+2,g(x) =x^(2) +2x+a if the equations f(x) =0 and g(x) =0 have a common root then the sum of roots of the equation f(x) +g(x) =0 is -