is there a good website where describes the importance of function notations.

http://www.cut-the-knot.org/do_you_know/FunctionMain.shtml

After reading the website it gives me the definition of function notations. Although what is important about function notation i know its solve equations for one.

Function notation is a mathematical convention that allows us to represent and work with functions in a concise and organized way. It may seem like a simple concept, but its importance lies in the clarity and efficiency it brings to mathematical expressions and equations.

One crucial aspect of function notation is that it provides a clear distinction between the function itself and the value(s) it operates on. By using a letter (usually a variable like 'x' or 'y') to represent the input or independent variable, and another letter (often 'f' or 'g') to denote the function, we can easily understand which part of an equation is the function and which part is the specific value being evaluated.

This distinction is particularly valuable when working with complex equations, as it allows us to break them down and focus on individual components. By using function notation, we can express mathematical relationships compactly and precisely. It enables mathematicians to communicate ideas, define functions, and apply them in various contexts effectively.

Function notation also plays a vital role in solving equations and performing operations on functions. It enables us to express operations such as composition, addition, and multiplication in a standard and clear manner. In this way, function notation allows for the manipulation and transformation of functions, aiding in the analysis and understanding of mathematical relationships and structures.

In summary, function notation is important because it helps us represent and manipulate mathematical functions in a concise and organized manner. It provides clarity, efficiency, and flexibility when working with equations, expressions, and operations involving functions.