Let  f(x) = (2x − 9) / (x + 2). (b) Show f −1 exists. Let f(a) = f(b) and show that a = b. f(a)=f(b) Multiply both sides of the equation by (a + 2)(b + 2).   Then, find the domain and range of  f −1. (c) Find f −1(x).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 1PT: Determine whether the following algebraic equationcan be written as a linear function. 2x+3y=7
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Let  f(x) = (2x − 9) / (x + 2).

(b) Show f −1 exists.

Let f(a) = f(b) and show that a = b. f(a)=f(b)
Multiply both sides of the equation by (a + 2)(b + 2).
 
Then, find the domain and range of  f −1.
(c) Find f −1(x).

 
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