Composition of Functions
If f: A → B and g: B→ C be two functions. Then the composition of f and g is denoted as f(g) and it is defined as the function fog = f(g(x)) for x ∈ A.
Let’s take two functions f(x) = x + 3 and g(x) = 2x2
fog = f(g(x))
⇒ fog = f(2x2)
⇒ fog = 2x2 + 3
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What is a Function in Maths?
A Function in maths is a special relation between the set of input values and the set of output values. In Function, each input value gives a particular output value. We represent a function in maths as, y = f(x) where x is the input value and for each x we get an output value as y.
In this article, we will learn about, functions in mathematics, their various types, examples, and others in detail.
Table of Content
- What is a Function in Maths?
- Function Definition in Maths
- Functions Examples
- Condition for a Function
- Representation of Functions in Math
- Identification of Function
- Types of Function
- What is a Function in Algebra?
- Domain and Range of a Function
- Composition of Functions
- Algebra of Functions
- What is a Function on a Graph?
- Graphing Functions
- Common Functions
- Applications of Functions
- Examples on Function
- Practice Problems on What is a Function