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Algebra And Functions

If we have two Sets, and the elements of one Set is associated with the element of other set is known as Functions. Algebra and functions are very important for finding the Relations in the given sets. We can say Algebra is a branch of mathematics which uses letters in place of Numbers. Suppose we have 5 + 9 = 9 + 5 which is given in the algebra and we can also write it as p + q = q + p; or in short we can say we use letters and other symbol in place of numbers. For example p + 5 = 9; here in this equation the letter ‘p’ is unknown, when we find the value of variable ‘p’ then we subtract 5 from both sides of the equation.
When we subtract 5 from both sides of a equation we get:
P + 5 – 5 = 9 – 5; on further solving we get:
P = 4;
We have some objectives of function: Function is used to find the sum, difference product and quotient of any given function. It is also used to evaluate the Composite Functions. Now we see some of the basic operations of functions:

If we have functions ‘f’ and ‘g’, then we use following operations on these function;

If we apply sum operation then we can write as:
⇒ (f + g) (p) = f(p) + g(p);
If we apply subtract operation then we can write as:
⇒ (f - g) (p) = f(p) - g(p);
If we apply product operation then we can write as:
⇒ (f . g) (p) = f(p) . g(p);
If we apply quotient operation then we can write as:
⇒ (f / g) (p) = (f/g)(p) or f(p)/g(p);
With the help of functions we can also find The Range and Domain of any sets.

Algebra Functions

In mathematics, x – coordinates values that present in the function is a Domain of a function and the entire y – coordinate values is The Range of a function. It is denoted by f (). In f (s), 's' is the value of domain of a function.

For example: (3, 4), (6, 4), (7, 13), (15, 25). In this example all x – coordinate values represent the domain of a function and...Read More

Miscellaneous Functions

We study different kinds of Functions in mathematics and some of the miscellaneous functions are discussed below.
First of all let’s talk about most commonly used function in science of Numbers i.e. constant functions.
Constant Function: The equation of constant function is given as:
F (x) = c,
Here f (x) is any function and 'c' is a constant that has some nu...Read More

One to One Function

Function is defined as a collection of objects in a particular format. It is defined as Set of one input set and one output set. In a function one input set is associated with one output set according to which, every output is associated with one input. Thus, it is said to be a relation between a set of input and a set of output.