4.1 Introduction: A rational function is a division of two polynomial functions. Or we can say that it is a polynomial divided by another polynomial.
In the case of one variable, x, a rational function is a function of the form
f(x) = P (x)/ Q(x)
Where P and, Q are polynomial functions in x and Q is not the zero polynomial. The condition for a rational function to exist is that the domain of f is the set of all points x for which the denominator Q(x) is not zero.
f( x) = x2 + x – 20,
x2 – x -12
The polynomials in the numerator and the denominator of the above function would factor like this:
f(x) = (x + 5) (x – 4),
(x- 4) (x + 3)
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