Rational Function

In the previous post we have discussed about 

Define Complex Number 

and In today's session we are going to discuss about Rational Function. Rational function in the math can be defined as that function that can be expressed in the form of the ratio of the 2 functions which are polynomial. It is not necessary that the coefficients of the polynomials should be rational numbers or the values which are  accepted by the function should be rational numbers. (know more about Rational Function, here)

When we have only single variable say x then any function is said to be the rational function only when that can be expressed in the way which is given below as follows. 

g ( x ) = p ( x ) / q ( x ),

In the above expression the functions p and q are the polynomial functions with variable as x. Also q should not be the 0 polynomial.

Now let us talk about the domain of the rational function. The domain of the function g ( x ) includes all those values of the x for which the function q ( x ) in the denominator does not come equal to 0. It is considered here that the fraction has been expressed in the terms of the lowest degree.  

It can also be said that every single polynomial type of the function is known as the rational function with the condition that q ( x ) = 1. And any function that can’t be expressed in the way described above cannot be called as the function which is rational but we do not use the term irrational for those functions, we use it only for the numbers.

Now let us take some one example of the rational function. For example y = ( x2 – 6x – 7 ) / ( x2 – 5 ) is a rational function which has degree two.

In order to get more help on topics: Rational Function, How Do You Find the Area of a Rectangle and Karnataka Board Syllabus, you can visit our next article.