If is a function satisfying for all and , what is the value of ?
The polynomial function satisfies the functional equation
What is the value of ?
A function satisfies . If has distinct real roots, what is the sum of all of the distinct real roots?
Details and assumptions
The root of a function is a value such that .
Let a function has the property:
Then, which of the following must be equal to ?
Let such that where is a constant.
Knowing that , what is ?