Stitz-Zeager_College_Algebra_e-book

We nd that we run into diculty if b 0 for example if

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: Topics in Functions Answers x+2 6 x+3 (b) f −1 (x) = 5 −1 (x) = − 5 x + (c) f 3 (i) f −1 (x) = 3 − 1. (a) f −1 (x) = (d) f −1 (x) = (x − √ 1 3 2)2 + 5, x ≤ 2 1 (e) f −1 (x) = 3 (x − 5)2 + 1 , x ≥ 5 3 1 (f) f −1 (x) = 1 x5 + 3 3 √ (g) f −1 (x) = 5 + x + 25 (h) f −1 (x) = − x+5 3 −4 √ x+4 (j) f −1 (x) = − x+1 , x > 1 2 4x − 3 (k) f −1 (x) = x x −1 (x) = (l) f 3x + 1 4x + 1 (m) f −1 (x) = 2 − 3x 6x + 2 (n) f −1 (x) = 3x − 4 −3x − 2 (o) f −1 (x) = x+3 3. Given that f (0) = 1, we have f −1 (1) = 0. Similarly f −1 (5) = 1 and f −1 (−3) = −1 5.3 Other Algebraic Functions 5.3 311 Other Algebraic Functions This section serves as a watershed for functions which are combinations of polynomial, and more generally, rational functions, with the operations of radicals. It is business of Calculus to discuss these functions in all the detail they demand so our aim in this section is to help shore up the requisite skills needed so that the reader can answer Calculus’s call when the time comes. We briefly recall the definition and some o...
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