An equation of the form `(f(x))^(1/3) + (g(x))^(1/3) = h(x)`

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

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

Suppose f, g, and h be three real valued function defined on R. Let f(x) = 2x + |x|, g(x) = (1)/(3)(2x-|x|) and h(x) = f(g(x)) The domain of definition of the function l (x) = sin^(-1) ( f(x) - g (x) ) is equal to

If the functions f(x)=x^(5)+e^(x//3) " and " g(x)=f^(-1)(x) , the value of g'(1) is ………… .

Consider the function x) which satisfying the functional equation 2f(x)+f(1-x)=x^2 +1AA x inR and g(x) = 3f(x) + 1 · The domain of h(x)=sqrt(g(x))

If f(x) and.g(x) are two functions with g(x)=x-(1)/(x) and f(g(x))=x^(3)-(1)/(x^(3)) then f(x) is

If f(x) is polynomial function such that f(x)+f'(x)+f(x)+f'(x)=x^(3) and g(x)=int(f(x))/(x^(3)) and g(1)=1 then g( e ) is

Let g(x) be the inverse of the function f(x) and f'(x)=(1)/(1+x^(3)) then g'(x) equals