Definition:Root of Mapping

Definition
Let $f: R \to R$ be a function on a ring $R$.

Let $x \in R$.

Then the values of $x$ for which $f \left({x}\right) = 0_R$ are known as the roots of the function $f$.

Also known as
The field $K$ is often the set of real numbers $\R$ or complex numbers $\C$.

In this case, for a given function $f$, the roots are often called the zeroes of the function $f$

Also see

 * Root of Polynomial, of which this definition is a generalization.