Here you will learn what is composition of functions with properties and examples. Let’s begin – What is Composition of Functions ? Let f : A \(\rightarrow\) B & g : f : B \(\rightarrow\) C be two functions. Then the function gof : f : A \(\rightarrow\) C defined by (gof)(x) = g(f(x)) \(\forall\) …
Here you will learn what is many one function with definition and examples. Let’s begin – Many One Function Definition : A function f : A \(\rightarrow\) B is said to be a many-one function if two or more elements of set A have the same image in B. Thus, f : A \(\rightarrow\) B …
Here you will learn what is one one function with definition and examples. Let’s begin – One One Function Definition Definition : A function f : A \(\rightarrow\) B is said to be a one-one function or an injection if different elements of A have different images in B. Thus, f : A \(\rightarrow\) B …
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Here you will learn types of functions in maths i.e polynomial function, logarithmic function etc and their domain and range. Let’s begin – Types of Functions in Maths (a) Polynomial function If a function is defined by f(x) = \(a_0x^n\) + \(a_1x^{n-1}\) + \(a_2x^{n-2}\) + ….. + \(a_{n-1}x\) + \(a_n\) where n is a non …
Here, you will learn what is inverse of a function, its properties and how to find the inverse of a function. Let’s begin – Inverse of a Function Let f : A \(\rightarrow\) B be a one-one & onto function, then there exists a unique function g : B \(\rightarrow\) A such that f(x) = …
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Here, you will learn what is a periodic function with definition and example. Let’s begin – Periodic Function A function f(x) is called periodic if there exist a positive number T (T > 0), where T is the smallest such value called the period of the function such that f(x + T) = f(x), for …
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Here, you will learn one one and onto function (bijection) with definition and examples. Let’s begin – What is Bijection Function (One-One Onto Function) ? Definition : A function f : A \(\rightarrow\) B is a bijection if it is one-one as well as onto. In other words, a function f : A \(\rightarrow\) B …
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Here, you will learn domain and range of greatest integer function and properties of greatest integer function with example. Let’s begin – Greatest Integer Function or Floor Function For any real number x, we use the symbol [x] or \(\lfloor x \rfloor\) to denote the greatest integer less than or equal to x. For example, …
Here, you will learn modulus function and what is the domain and range of modulus function. Let’s begin – The function f(x) defined by y = |x| = \(\begin{cases} x & \text{if}\ x \ge 0 \\ -x & \text{if}\ x < 0 \end{cases}\) is called the modulus function. It is also called absolute value function. …
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Here, you will learn what is odd even functions and how to determine if given function is odd or even with example. Let’s begin – Odd Even Function : Let a function f(x) such that both x and -x are in its domain then If f(-x) = f(x) then f is said to be an …
