Functional equations satisfied by Typical functions

The differential equation satisfied by the function y=sqrt(sin x+sqrt(sin x+sqrt(sin x+............oo)))

Match the following functions satisfying particular functions relationship.

Functional equations resulting from properties of functions

When does a production function satisfy increasing returns to scale?

If f: RR^(+) rarr RR ^(+) is a polynomial function satisfying the functional equation f{f(x)}=6x-f(x) , then f(17) is equal to ___

A function a satisfies a (-2)=3 and a (3) =8.A function b satisfies b (3) =4 and b (7) =-2. What is the value of a (b(7)) ?

A function phi(x) satisfies the functional equation x^(2)phi(x)+phi(1-x)=2x-x^(4) for all real x. Then phi(x) is given by

If f:R^(+)rarr R^(+) is a polynomial function satisfying the functional equation f(f(x))=6x-f(x), thenf (17) is equal to 17(b)51(c)34(d)-34