Please make notes on Rational functions and be marked the brainliest
Answers
Rational function is the ratio of two polynomial functions where the denominator polynomial is not equal to zero. It is usually represented as R(x) = P(x)/Q(x), where P(x) and Q(x) are polynomial functions. In past grades, we learnt the concept of the rational number. It is the quotient or ratio of two integers, where the denominator is not equal to zero. Hence, the name rational is derived from the word ratio.
Definition of Rational Function
A number that can be expressed in the form of pq where p and q are integers and q ≠ 0, is a rational number.
Just like rational numbers, the rational function definition as:
Definition: A rational function R(x) is the function in the formP(x)Q(x) where P(x) and Q(x) are polynomial functions and Q(x) is a non-zero polynomial.
R(x) = P(x)Q(x), Q(x) ≠ 0
From the given condition for Q(x), we can conclude that zeroes of the polynomial function in the denominator do not fall in the domain of the function. When Q(x) = 1, i.e. a constant polynomial function, the rational function becomes a polynomial function.