Stitz-Zeager_College_Algebra_e-book

What is the corresponding resistance value c find and

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: n Section 1.6, we will produce another polynomial function. If, on the other hand, we divide two polynomial functions, the result may not be a polynomial. In this chapter we study rational functions - functions which are ratios of polynomials. Definition 4.1. A rational function is a function which is the ratio of polynomial functions. Said differently, r is a rational function if it is of the form r(x) = p(x) , q (x) where p and q are polynomial functionsa a According to this definition, all polynomial functions are also rational functions. (Take q (x) = 1). As we recall from Section 1.5, we have domain issues anytime the denominator of a fraction is zero. In the example below, we review this concept as well as some of the arithmetic of rational expressions. Example 4.1.1. Find the domain of the following rational functions. Write them in the form for polynomial functions p and q and simplify. 1. f (x) = 2x − 1 x+1 2. g (x) = 2 − 3 x+1 3. h(x) = 2x2 − 1 3x − 2 −2 x2 − 1 x −1 4. r(x) = p(x) q (x...
View Full Document

This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

Ask a homework question - tutors are online