Functions are one of the most fundamental concepts in mathematics, serving as a cornerstone for topics in algebra, calculus and beyond.Basics of functions are stepping-stone to success in functions ...

Example 2. Let $f$ and $g$ be functions given by $f(x)=e^{4x}$ and $g(x)=\sqrt{x}+\dfrac{1}{x}$. a) Compute $fg(x)$. b) Compute $gf(x)$.

Functions are written in function notation with the name of the function (usually f or g), a variable written in brackets and an expression. When calculating the value of a function, the input ...

Function composition is an important process for creating a new function from two given functions. Students can have a difficult time understanding the notation and concept of function composition.

Definition of composite functions and notation. The process of combining functions so that the output of one function becomes the input of another is known as a composition of functions. The resulting ...

A function is a rule or set of rules or instructions for changing one input number into another output number. Functions are written in function notation with the name of the function (usually \(f ...