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).
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).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
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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